Find the volume and surface area of the cylinder with radius 3 cm and height 3 cm. Round your
answer to two decimal places

Answers

Answer 1

The volume of the cylinder is \(84.82cm^3\) and the surface area is  \(113.10cm^2\).

What is the surface area of a cylinder?

The surface area of a cylinder is given by the following expression:

\(S=2\pi r^2+2\pi rh\)

Here, S is the surface area, r is the radius of the cylinder, and h is the height of the cylinder.

Substitute values in the above formula:

\(S=2\pi r^2+2\pi rh\\=2\pi(3cm)^2+2\pi(3cm)(3cm)\\=18\pi+18\pi\\=36\pi\\=113.10cm^2\)

Upto two decimal places, the surface area is \(113.10cm^2\).

The fomula for the volume of the cylinder is as follows:

\(V=\pi r^2 h\)

Substitute values in the above expression:

\(V=\pi (3cm)^2(3cm)\\=27\pi\\=84.82 cm^3\)

Hence, the volume is \(84.82cm^3\) and the surface area is also \(113.10cm^2\).

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Related Questions

What is the area of the square that measures 3.1 m on each side

Answers

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Classifying the polynomial

Answers

Answer: Polynomials can be classified by the degree of the polynomial. The degree of a polynomial is the degree of its highest degree term. So the degree of 2x3+3x2+8x+5 2 x 3 + 3 x 2 + 8 x + 5 is 3. A polynomial is said to be written in standard form when the terms are arranged from the highest degree to the lowest degree.

classified in two ways: based on degree and based on the number of terms.
The types of polynomials based on degree: zero polynomial, linear, quadratic, and cubic polynomials.
The types of polynomials based on the number of terms: monomials, binomials, trinomials, etc

If a perpetuity pays a cash flow (C) every time period, forever, how come it is not worth an
infinite amount of money right now? Explain.

Answers

There’s a difference between an infinite amount of something and an infinitely compounding amount of something. You’re infinitely expanding on a finite starting point. So while there is no definitive end point, the start point is finite.

find the h.c.f of 6,9 and 12​

Answers

Answer:
3

Step-by-step explanation:

Answer:  3 is the HCF of 6,9 and 12

coz 3 is divisible by all the numbers above

Hope it helped u,

pls mark as the brainliest

^_^

37= -3+5(x + 6) slove for x

Answers

Step 1: Simplify both sides of the equation.
37
=

3
+
5
(
x
+
6
)
37
=

3
+
(
5
)
(
x
)
+
(
5
)
(
6
)
(Distribute)
37
=

3
+
5
x
+
30
37
=
(
5
x
)
+
(

3
+
30
)
(Combine Like Terms)
37
=
5
x
+
27
37
=
5
x
+
27
Step 2: Flip the equation.
5
x
+
27
=
37
Step 3: Subtract 27 from both sides.
5
x
+
27

27
=
37

27
5
x
=
10
Step 4: Divide both sides by 5.
5
x
5
=
10
5
x
=
2

please answer ive been waiting half hour

Every plant bloomed in the spring. The simple subject of this sentence is _____.
every
every plant
plant
bloomed

Answers

i’m pretty sure it’s plant

The subject is the idea,being or thing being discussed.

Should be "plant". Its the Main thing being discussed.

A quadrilateral has 4right angles and 2 pair of opposite sizes that are parallel. What quadrilateral could be

Answers

Answer:

parllelogram

Step-by-step explanation:

............

can someone help
please dont put garbage answers :( ​

can someone help please dont put garbage answers :(

Answers

Answer:

the first one

Step-by-step explanation:

Please mark me brainliest. Something like that  

Kiran read for x minutes, and andre read for 5/8 minutes more than that. Write an equation that relates the number of minutes Kiran read with y: the number of minutes that Andre read. Use decimals in your equation. Use lower case letters.​

Kiran read for x minutes, and andre read for 5/8 minutes more than that. Write an equation that relates

Answers

Answer:

y=x+0.625

Step-by-step explanation:

Since, x represents the number of hour kiran read,

According to the question,

The number of hours Andre read = 5/8 more than the number of hour kiran read

= 5/8 more than x

= x + 5/8 of x

(Please help, Multiple Choice) Find the value of X

(Please help, Multiple Choice) Find the value of X

Answers

Answer:

X=19

Step-by-step explanation:

7x-8=6x+11

x=19

244-33456/3456*345+13.55-2=

Answers

The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:

244 - (33456 / 3456) * 345 + 13.55 - 2

= 244 - 97.02 * 345 + 13.55 - 2

= 244 - 33494.1 + 13.55 - 2

= -33238.55

Therefore, 244-33456/3456*345+13.55-2 = -33238.55.

please answer asap NO SCAM LINKS.

please answer asap NO SCAM LINKS.

Answers

ITS D !! since his parents give him 10 dollars every certain time amount, so that means the slope is 10

An aquarium at the zoo is shaped like a cylinder. It has a height of 4 feet and a base radius of 2.5 feet. The aquarium is being filled with water at a rate of 12 gallons per minute. If one cubic foot is about 7.5 gallons, how long will it take the aquarium to fill?

Answers

It will take about 19.64 minutes to fill the aquarium with water.

What is cylinder?

In geometry, a cylinder is a three-dimensional solid shape with a circular or oval cross-section and two parallel congruent bases that are also circular or oval in shape. The sides of the cylinder are formed by a curved surface that connects the two bases. A cylinder is considered a type of prism, as it has two identical bases that are parallel to each other.

The volume of a cylinder is given by the formula V = πr^{2}h, where r is the radius of the base, h is the height, and π is a mathematical constant approximately equal to 3.14.

In this case, the radius is 2.5 feet and the height is 4 feet, so the volume of the aquarium is:

V = π(2.5^{2})(4)

V = 31.42 cubic feet

One cubic foot is about 7.5 gallons, so the aquarium can hold approximately:

31.42 x 7.5 = 235.65 gallons

The aquarium is being filled at a rate of 12 gallons per minute, so the time it will take to fill the aquarium can be found by dividing the volume of the aquarium by the rate of filling:

235.65 / 12 = 19.64 minutes (rounded to two decimal places)

Therefore, it will take about 19.64 minutes to fill the aquarium with water.

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Write 4/42 in simplest form

Answers

Answer:

2/21

Step-by-step explanation: Basically divide both numbers by two over and over again till you get a odd number on either one. so 4 divided by 2 is 2, and 42 divided by 2 is 21, so i believe 2/21 is the answer. Hope this Helps!   -Conner

The sum of the measures of any two supplementary angles is 180 degree. < L and < S are supplementary angles. The measures of < L is sixty-six degrees less than five times the measure of < S.What is the measure of < L? Use “deg” for the degree symbol.What is the measure of < S? Use “deg” for the degree symbol.

Answers

Answer:\(\begin{gathered} m\angle L=139^0 \\ m\angle S=41^0 \end{gathered}\)

Explanations:

If the sum of the measures of any two supplementary angles is 180 degrees and m\(m\angle L+m\angle S=180^0\text{ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ 1}\)Also, if the measure of < L is sixty-six degrees less than five times the measure of < S, then:

\(m\angle L=5m\angle S-66_{--------------}2\)

Substitute equation 2 into equation 1 to have:

\((5m\angle S-66)+m\angle S=180\)

Simplify the result to have:

\(\begin{gathered} 5m\angle S-66+m\angle S=180 \\ 5m\angle S+m\angle S-66=180 \\ 6m\angle S-66=180 \end{gathered}\)

Add 66 to both sides of the resulting equation:

\(\begin{gathered} 6m\angle S-66+66=180+66 \\ 6m\angle S=246 \end{gathered}\)

Divide both sides of the equation by 6

\(\begin{gathered} \frac{\cancel{6}m\angle S}{\cancel{6}}=\frac{\cancel{246}^{41}}{\cancel{6}} \\ m\angle S=41^0 \end{gathered}\)

Get the measure of < L. Recall that:

\(\begin{gathered} m\angle L=5m\angle S-66 \\ m\angle L=5(41)-66 \\ m\angle L=205-66 \\ m\angle L=139^0 \end{gathered}\)

Hence the measure of < L is 139 deg. while the measure of


(8x + 6) - (x + 4).

Answers

8x+6-x-4

Collect like term

Solution

7x+2

no links help me

Parents are raising money for new playground equipment. They need $682.56 to purchase swings and receive a $200.00 donation. The remaining amount will be equally divided among 8 different student groups to raise. How much money will each student group need to raise in order to purchase the swings? Your answer should start with the $ and should only include numbers and a decimal point. *

Answers

Answer:

$53.57

Step-by-step explanation:

First, you have to subtract 200 from 628.56 to get 428.46

Then, you do 428.46/2 = 53.57, which is your answer

Hope this helps!

Answer:  $482.56                                                                                                                                          

                                                                                                                                             Step-by-step explanation:     $682.56 - 200 of the donations = 482.56

Ms. Ganther swam 500 meters in a race, how many kilometers did she swim?

Answers

Answer:

0.5

Step-by-step explanation:

you just move the decimal three times over to the left

To convert metre unit to kilometres, divide it by 1000.

∴ Mr Ganther covered = 500/1000 km = 0.5 km.

For each ordered pair (x, y), determine whether it is a solution to the inequality y≤0.
(8,-43)
(4.-22)
(-3,25)
(-7,45)
Is it a solution?

Answers

Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Have a GREAT day!!!

For each ordered pair (x, y), determine whether it is a solution to the inequality y0.(8,-43)(4.-22)(-3,25)(-7,45)Is

Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

find dy/dx and d2y/dx2, and find the slope and concavity (if possible) at the given value of the parameter. (If an answer does not exist, enter DNE.) Parametric Equations Point x = 6 cos θ, y = 6 sin θ θ = π/4
find:
dy/dx=
d^2y/dx^2 =
slope
concavity:

Answers

The value of dy/dx is -cotθ, d^2y/dx^2 is -6cosec³θ, slope is -cotθ, concavity is -6cosec³θ.

Parametric Equations Point x = 6cosθ, y = 6sinθ and θ = π/4

We have to determine the value of dy/dx.

We can define dy/dx as;

dy/dx = (dy/dθ)/(dx/dθ)

We first define dy/dθ and dx/dθ.

x = 6cosθ                             y = 6sinθ

dx/dθ = -6sinθ                     dy/dθ = 6cosθ

Now put the value

dy/dx = 6cosθ/(-6sinθ)

dy/dx = -cotθ

Now we have to determine the value of d²y/dx².

d²y/dx² = d/dx(dy/dx)

We can write it as

d²y/dx² = \(\frac{\frac{d}{d\theta}(\frac{dy}{dx})}{dx/d\theta}\)

We first determine the value of d/dθ(dy/dx)

d/dθ(dy/dx) = d/dθ(-cotθ)

d/dθ(dy/dx) = cosec²θ

Now put the value

d²y/dx² = cosec²θ/(-6sinθ)

d²y/dx² = -6cosec³θ

Now we have to determine the slope.

Slope = dy/dx

Slope = -cotθ

Now we have to determine the concavity.

Concavity = d²y/dx²

Concavity = -6cosec³θ

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find the cost of 72 books at 5.75​

Answers

Answer: $414

Step-by-step explanation:

Total of books= 72

Cost of each book= $5.75

72(5.75)= $414

Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line

Answers

Answer is C) it is located between the numbers 2 and 3 on the number line

Explanation

The square root of a number is “what number times itself”

2 x 2 = 4

3 x 3 = 9

7 is between 4 and 9 so C is the correct answer

Please help I’ll mark u :(:

Please help Ill mark u :(:

Answers

Answer:

put it into slope intercept form. which is y=mx+b

Step-by-step explanation:

Y=2x+23 is the answer

What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer

What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer

Answers

Answer:

\( - \frac{3}{4} \)

Step-by-step explanation:

\( = - 1 \frac{1}{4} + \frac{1}{2} \)

\( = - \frac{5}{4} + \frac{1}{2} \)

\( = \frac{ - 5 + 2}{4} \)

\( = - \frac{3}{4} \)

Detail :

===================================

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What should be subtracted from minus 3 / 4 so has to get 5 / 6 ?

Answers

Answer:

Step-by-step explanation:

Step 1:First Make 3/4 and 5/6 into like fractions.Find the L.C.M of 4 and  

            6,which is 12.

            3*3/4*3=9/12

             5*2/6*2=10/12

Step 2:Subtract 9/12 from 10/12,which is 1/12.

           

                       

Find a and b using the factor theorem.
\(f(x)=x^3+ax^2+bx-12\) has factor \((x-1), (x+1)\)

Answers

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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What is 7/9dividing1/3 a fraction is

Answers

Answer:

7/9 ÷ 1/3 = 21/9 as simplified as 7/3 in fraction form. 7/9 ÷ 1/3 = 2.3333 in decimal form.

Is 3/4 greater than 8/12

Answers

Answer: 3/4 is greater than 8/12.

Step-by-step explanation:

To determine whether 3/4 is greater than 8/12, we can compare the fractions by finding a common denominator and then comparing the numerators.

First, let's find a common denominator for 4 and 12, which is 12. We can convert both fractions to have a denominator of 12:

3/4 = (3/4) * (3/3) = 9/12

8/12 = 8/12

Now we can compare the numerators. Is 9 greater than 8? Yes, 9 is greater than 8.

Therefore, 3/4 is greater than 8/12.

evaluate this exponential expression 5 • (3 + 6)^2 - 6^2

Answers

The answer of this expression is 369

We know that to solve a numerical expression, we will calculate with property base form.

When there are symbols in an expression, we first solve the numbers in order that are between:

Parentheses ( ) Brackets [ ] Braces { }

The math signs calculated first in order are;

Power - square root Multiplication - divisionAddition - subtraction

Given the expression, the resolution will be:

5 * ( 3 + 6 )² - 6²

5 * 9² - 6²

5 * 81 - 36

406 - 36

369

So, the value of this numeric expression is 369

how do I find the percentage of filled seats verus non filled seats for a class

Answers

Answer:

since i dont have data this is the best i can do

Step-by-step explanation:

non-filled seats diveded by total number of seats, everything multilped by 100 gives you percentage of non-filled seats.

Filled seats diveded by total number of seats, everything multilped by 100 gives you percentage of filled seats.

total should add up to 100

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