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)

Question

(blank) cubic inches

Answer 1

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

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

where \( r \) is the radius and \( h \) is the height of the cylinder.

1. Find the radius: The diameter of the cylinder is 16 inches, so the radius \( r \) is:

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

2. Use the height: The height \( h \) is given as 7 inches.

3. Substitute the values into the formula:

\[ V = \pi (8)^2 (7) \]

4. Calculate \( r^2 \):

\[ 8^2 = 64 \]

5. Now substitute this value back into the volume formula:

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

6. First, calculate \( 64 \times 7 \):

\[ 64 \times 7 = 448 \]

7. Now multiply by \( \pi \):

\[ V = 3.14 \times 448 \]

8. Calculating that:

\[ 3.14 \times 448 = 1406.72 \]

Therefore, the volume of the cylinder is approximately:

\[ \boxed{1406.72} \text{ cubic inches} \]