Question

Volume of cylinders practice
Find the volume in cubic inches of a cylinder with a diameter of 16 inches and a height of 7 inches use 3.14 for pi round your answer to the nearest hundreth

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

Given:
- The diameter of the cylinder is 16 inches, so the radius \( r \) is half of the diameter:
\[
r = \frac{16}{2} = 8 \text{ inches}
\]
- The height \( h \) is 7 inches.

Now, substituting the values into the formula:

\[
V = 3.14 \times (8)^2 \times 7
\]

First, calculate \( (8)^2 \):

\[
(8)^2 = 64
\]

Now substitute back into the volume equation:

\[
V = 3.14 \times 64 \times 7
\]

Now, calculate \( 64 \times 7 \):

\[
64 \times 7 = 448
\]

Now substitute that back into the equation for volume:

\[
V = 3.14 \times 448
\]

Now, calculate \( 3.14 \times 448 \):

\[
V = 1407.92
\]

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

\[
\boxed{1407.92} \text{ cubic inches}
\]