Question

Find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches. Use 3.14 for pi.(1 point) Responses 150.72 cubic inches 150.72 cubic inches 602.88 cubic inches 602.88 cubic inches 2,411.52 cubic inches 2,411.52 cubic inches 1,808.64 cubic inches

Answer 1

To find the volume of a cylinder, we use the formula:

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

where \( V \) is the volume, \( r \) is the radius, \( h \) is the height, and \( \pi \) is approximately 3.14.

Given:
- Height \( h = 12 \) inches
- Diameter = 8 inches, so the radius \( r = \frac{8}{2} = 4 \) inches

Now, we can substitute the values into the formula:

\[
V = 3.14 \times (4)^2 \times 12
\]

First, calculate \( (4)^2 \):

\[
(4)^2 = 16
\]

Now substitute that back into the volume formula:

\[
V = 3.14 \times 16 \times 12
\]

Next, calculate \( 16 \times 12 \):

\[
16 \times 12 = 192
\]

Now, multiply \( 192 \times 3.14 \):

\[
V = 192 \times 3.14 = 602.88
\]

Thus, the volume of the cylinder is \( \mathbf{602.88} \) cubic inches.

The correct response is **602.88 cubic inches**.