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

1 answer

To find the volume \( V \) of a cylinder, you can use the formula:

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

where:

  • \( r \) is the radius,
  • \( h \) is the height,
  • \( \pi \) is approximately 3.14.

Given:

  • The diameter of the cylinder is 8 inches, so the radius \( r \) is half of the diameter:

\[ r = \frac{8}{2} = 4 \text{ inches} \]

  • The height \( h \) is 12 inches.

Now substituting the values into the volume formula:

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

Calculating \( 4^2 \):

\[ 4^2 = 16 \]

Now substituting back into the equation:

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

Calculating \( 16 \times 12 \):

\[ 16 \times 12 = 192 \]

Now calculating \( 3.14 \times 192 \):

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

Therefore, the volume of the cylinder is

\[ \boxed{602.88} \text{ cubic inches.} \]