Question

Solve the problem.



The radius of the given cylinder is
4.8
4.8 inches, and the height of the cylinder is
15.8
15.8 inches. What is the volume of the cylinder? Use
3.14
3.14 for
π
π. Round answer to the nearest tenth.





A cylinder.





cubic inches

Answer 1

The volume \( V \) of a cylinder can be calculated using the formula:

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

where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder, and
- \( \pi \) is approximately 3.14.

Given:
- \( r = 4.8 \) inches,
- \( h = 15.8 \) inches,
- \( \pi \approx 3.14 \).

Now, substituting the values into the formula:

\[
V = 3.14 \times (4.8)^2 \times 15.8
\]

First, calculate \( (4.8)^2 \):

\[
(4.8)^2 = 23.04
\]

Now substitute this value back into the formula:

\[
V = 3.14 \times 23.04 \times 15.8
\]

Next, calculate \( 3.14 \times 23.04 \):

\[
3.14 \times 23.04 \approx 72.2656
\]

Now, multiply this result by \( 15.8 \):

\[
V \approx 72.2656 \times 15.8 \approx 1147.2
\]

Finally, rounding to the nearest tenth gives us:

\[
V \approx 1147.2 \text{ cubic inches}
\]

Thus, the volume of the cylinder is approximately **1147.2 cubic inches**.