Find the volume of the cylinder, in cubic centimeters. Use 3.14 for pi. Round your answer to the nearest tenth.

Question

h(5 cm) r(3 cm)

Answer 1

To find the volume of a cylinder, you can use the formula:

\[ V = \pi r^2 h \]

where:

• \( V \) is the volume,
• \( r \) is the radius, and
• \( h \) is the height.

Given:

• \( r = 3 , \text{cm} \)
• \( h = 5 , \text{cm} \)
• Use \( \pi \approx 3.14 \)

Now, plug in the values:

\[ V = 3.14 \times (3^2) \times 5 \]

First, calculate \( 3^2 \):

\[ 3^2 = 9 \]

Now, substitute that back into the volume formula:

\[ V = 3.14 \times 9 \times 5 \]

Next, calculate \( 9 \times 5 \):

\[ 9 \times 5 = 45 \]

Now, substitute that value:

\[ V = 3.14 \times 45 \]

Next, calculate \( 3.14 \times 45 \):

\[ V = 141.3 \]

Thus, the volume of the cylinder is approximately \( 141.3 \) cubic centimeters. Since the answer is already rounded to the nearest tenth, the final result is:

\[ \boxed{141.3} , \text{cm}^3 \]

Answer 2

Find the volume of the cylinder, in cubic meters. Use 3.14 for pi. Round your answer to the nearest hundredth
the cylinder is slanted off to the side

h=7 slant hight=10 r=4

Answer 3

To find the volume of a cylinder, whether it is vertical or slanted, we still use the formula for the volume of a cylinder:

\[ V = \pi r^2 h \]

where:

• \( V \) is the volume,
• \( r \) is the radius, and
• \( h \) is the height of the cylinder (the vertical height).

In this case, you provided the following dimensions:

• \( r = 4 , \text{m} \) (the radius)
• \( h = 7 , \text{m} \) (the vertical height of the cylinder)

We will use the value \( \pi \approx 3.14 \).

Now, plug in the values into the volume formula:

\[ V = 3.14 \times (4^2) \times 7 \]

First, calculate \( 4^2 \):

\[ 4^2 = 16 \]

Now, substitute that back into the volume formula:

\[ V = 3.14 \times 16 \times 7 \]

Next, calculate \( 16 \times 7 \):

\[ 16 \times 7 = 112 \]

Now, substitute that value:

\[ V = 3.14 \times 112 \]

Next, calculate \( 3.14 \times 112 \):

\[ V = 350.68 \]

So, the volume of the cylinder is approximately \( 350.68 \) cubic meters. Rounded to the nearest hundredth, the final result is:

\[ \boxed{350.68} , \text{m}^3 \]

Answer 4

Find the volume of the cylinder, in cubic meters. Use 3.14 for pi. Round your answer to the nearest hundredth

h=7 r=4

Answer 5

To find the volume of the cylinder, you can use the formula:

\[ V = \pi r^2 h \]

given:

• \( h = 7 , \text{m} \) (the height),
• \( r = 4 , \text{m} \) (the radius),
• Use \( \pi \approx 3.14 \).

Now, plug the values into the volume formula:

\[ V = 3.14 \times (4^2) \times 7 \]

First, calculate \( 4^2 \):

\[ 4^2 = 16 \]

Now substitute that back into the formula:

\[ V = 3.14 \times 16 \times 7 \]

Next, calculate \( 16 \times 7 \):

\[ 16 \times 7 = 112 \]

Now substitute that value back into the equation:

\[ V = 3.14 \times 112 \]

Finally, calculate \( 3.14 \times 112 \):

\[ V = 350.68 \]

Thus, the volume of the cylinder is approximately \( 350.68 \) cubic meters. Rounded to the nearest hundredth, the final result is:

\[ \boxed{350.68} , \text{m}^3 \]

Answer 6

A can of peas has a height of 6 inches and a radius of 3 inches. What is the volume, in cubic inches, of the can? Use 3.14 for p

Answer 7

To find the volume of a cylinder, you use the formula:

\[ V = \pi r^2 h \]

where:

• \( V \) is the volume,
• \( r \) is the radius, and
• \( h \) is the height.

For the can of peas:

• Height \( h = 6 \) inches
• Radius \( r = 3 \) inches
• Use \( \pi \approx 3.14 \)

Now, plug in the values:

\[ V = 3.14 \times (3^2) \times 6 \]

First, calculate \( 3^2 \):

\[ 3^2 = 9 \]

Next, substitute that value back into the formula:

\[ V = 3.14 \times 9 \times 6 \]

Now, calculate \( 9 \times 6 \):

\[ 9 \times 6 = 54 \]

Substitute that back into the volume equation:

\[ V = 3.14 \times 54 \]

Finally, calculate \( 3.14 \times 54 \):

\[ V = 169.56 \]

Thus, the volume of the can is approximately \( 169.56 \) cubic inches. Therefore, the final answer is:

\[ \boxed{169.56} , \text{cubic inches} \]

Answer 8

A gas tank has a height of 8 feet and a width of 6 feet. What is the volume, in cubic feet, of the gas tank? Use 3.14 for pi

Answer 9

To find the volume of a gas tank that is cylindrical in shape, you can use the formula for the volume of a cylinder:

\[ V = \pi r^2 h \]

where:

• \( V \) is the volume,
• \( r \) is the radius, and
• \( h \) is the height.

Given:

• Height \( h = 8 \) feet
• Width (diameter) = 6 feet

First, we need to find the radius. The radius \( r \) is half of the width (diameter):

\[ r = \frac{6}{2} = 3 , \text{feet} \]

Now, substitute the values into the volume formula:

\[ V = 3.14 \times (3^2) \times 8 \]

First, calculate \( 3^2 \):

\[ 3^2 = 9 \]

Now substitute that back into the volume formula:

\[ V = 3.14 \times 9 \times 8 \]

Next, calculate \( 9 \times 8 \):

\[ 9 \times 8 = 72 \]

Now substitute that back into the equation:

\[ V = 3.14 \times 72 \]

Finally, calculate \( 3.14 \times 72 \):

\[ V = 226.08 \]

Thus, the volume of the gas tank is approximately \( 226.08 \) cubic feet. Therefore, the final answer is:

\[ \boxed{226.08} , \text{cubic feet} \]