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

1 answer

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

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

where:

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

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

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

The height \( h \) of the cylinder is given as 7 inches.

Now we can substitute the values into the volume formula:

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

Calculating \( 8^2 \):

\[ 8^2 = 64 \]

Now substitute this value into the formula:

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

Calculating \( 64 \times 7 \):

\[ 64 \times 7 = 448 \]

Now substitute this result back into the formula:

\[ V = 3.14 \times 448 \]

Calculating \( 3.14 \times 448 \):

\[ 3.14 \times 448 = 1407.92 \]

Thus, the volume of the cylinder is:

\[ \boxed{1407.92} \text{ cubic inches} \]