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
Remaining Attempts : 3

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, and \( h \) is the height.

1. First, we need to find the radius of the cylinder. The diameter is given as 16 inches, so the radius \( r \) is:

\[
r = \frac{\text{diameter}}{2} = \frac{16}{2} = 8 \text{ inches}
\]

2. We also have the height \( h \) of the cylinder, which is given as 7 inches.

3. Now we can substitute the values into the volume formula:

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

4. Calculate \( (8)^2 \):

\[
(8)^2 = 64
\]

5. Now substitute \( 64 \) into the formula:

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

6. Now calculate \( 64 \times 7 \):

\[
64 \times 7 = 448
\]

7. Finally, calculate \( 3.14 \times 448 \):

\[
V = 3.14 \times 448 = 1406.72
\]

So, the volume of the cylinder is approximately:

\[
\boxed{1406.72} \text{ cubic inches}
\]