Question

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 hundredth.(1 point)
cubic inches

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, \(\pi\) is approximately 3.14, and \(h\) is the height.

1. First, determine the radius of the cylinder. The diameter is 16 inches, so the radius \(r\) is half of the diameter:
\[
r = \frac{d}{2} = \frac{16}{2} = 8 \text{ inches}
\]

2. Next, substitute the values into the volume formula. The height \(h\) is 7 inches:
\[
V = 3.14 \times (8)^2 \times 7
\]

3. Calculate \(8^2\):
\[
8^2 = 64
\]

4. Now, substitute back into the formula:
\[
V = 3.14 \times 64 \times 7
\]

5. Calculate \(64 \times 7\):
\[
64 \times 7 = 448
\]

6. Finally, calculate \(V\):
\[
V = 3.14 \times 448 = 1407.52
\]

The volume of the cylinder, rounded to the nearest hundredth, is:
\[
\boxed{1407.52} \text{ cubic inches}
\]