Question

Find the volume of the cylinder. Round your answer to the nearest tenth.
Hight 20 in
radius 22 in

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,
- \( h \) is the height.

In this case, the height \( h = 20 \) inches and the radius \( r = 22 \) inches.

Now, plug in the values:

\[
V = \pi (22)^2 (20)
\]

First, calculate \( 22^2 \):

\[
22^2 = 484
\]

Now substitute that back into the formula:

\[
V = \pi (484)(20)
\]

Multiply \( 484 \) by \( 20 \):

\[
484 \times 20 = 9680
\]

Now substitute that back into the formula:

\[
V = \pi (9680)
\]

Now, approximate this using \( \pi \approx 3.14159 \):

\[
V \approx 3.14159 \times 9680 \approx 30446.25
\]

Finally, rounding to the nearest tenth:

\[
V \approx 30446.3
\]

Therefore, the volume of the cylinder is approximately **30446.3 cubic inches**.