Question

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

1,808.64 cubic inches
1,808.64 cubic inches

150.72 cubic inches
150.72 cubic inches

2,411.52 cubic inches
2,411.52 cubic inches

602.88 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, and
- \( \pi \) is approximately 3.14.

Given:
- Height (h) = 12 inches
- Diameter = 8 inches, so the radius (r) = diameter / 2 = 8 inches / 2 = 4 inches

Now, substitute the values into the formula:

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

Calculating \( (4)^2 \):

\[ (4)^2 = 16 \]

Now substitute back into the volume formula:

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

Calculating \( 16 \times 12 \):

\[ 16 \times 12 = 192 \]

Now substitute back again:

\[ V = 3.14 \times 192 \]

Now calculate \( 3.14 \times 192 \):

\[ V = 602.88 \]

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

The correct response is:

**602.88 cubic inches**