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 inchesss

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

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

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

Next, we can substitute the values of \( r \), \( h \), and \( \pi \) into the formula:

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

Calculating \( (8)^2 \):

\[ (8)^2 = 64 \]

Now, substitute this into the volume formula:

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

Calculating \( 64 \times 7 \):

\[ 64 \times 7 = 448 \]

Now substitute that into the volume formula:

\[ V = 3.14 \times 448 \]

Calculating \( 3.14 \times 448 \):

\[ 3.14 \times 448 = 1407.52 \]

Thus, the volume of the cylinder is:

\[ \boxed{1407.52} \text{ cubic inches} \]