Question

 
Find the volume of the cylinder, in cubic millimeters. Round your answer to the nearest hundredth.

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 of the base, and \( h \) is the height of the cylinder.

To calculate the volume, you will need to know the values of the radius and the height. Please provide those measurements, and I can help you calculate the volume.

Answer 2

13 mm & 8mm

Answer 3

Given the radius \( r = 13 \) mm and the height \( h = 8 \) mm, we can now use the volume formula for a cylinder:

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

Substituting the provided values:

\[
V = \pi (13)^2 (8)
\]

Calculating \( 13^2 \):

\[
13^2 = 169
\]

Now substituting that back into the volume equation:

\[
V = \pi (169) (8) = \pi (1352)
\]

Now calculating it using \( \pi \approx 3.14159 \):

\[
V \approx 3.14159 \times 1352 \approx 4241.92
\]

Rounding to the nearest hundredth, the volume of the cylinder is:

\[
\boxed{4241.92} \text{ cubic millimeters}
\]

Answer 4

13mm is h and 8mm is r

Answer 5

Thank you for the clarification. Given the height \( h = 13 \) mm and the radius \( r = 8 \) mm, we will use the same formula for the volume of a cylinder:

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

Substituting the values:

\[
V = \pi (8)^2 (13)
\]

Calculating \( 8^2 \):

\[
8^2 = 64
\]

Now substitute that back into the volume equation:

\[
V = \pi (64) (13) = \pi (832)
\]

Now calculating it using \( \pi \approx 3.14159 \):

\[
V \approx 3.14159 \times 832 \approx 2618.61
\]

Rounding to the nearest hundredth, the volume of the cylinder is:

\[
\boxed{2618.61} \text{ cubic millimeters}
\]