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 602.88 cubic inches 602.88 cubic inches 2,411.52 cubic inches 2,411.52 cubic inches 1,808.64 cubic inches 1,808.64 cubic inches 150.72 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,
- \( h \) is the height,
- \( \pi \) (pi) is approximately 3.14.

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

Now, substitute the radius and height into the formula:

\[
V = 3.14 \times (4^2) \times 12
\]
\[
= 3.14 \times 16 \times 12
\]
\[
= 3.14 \times 192
\]
\[
= 602.88 \text{ cubic inches}
\]

Thus, the volume of the cylinder is **602.88 cubic inches**.