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What is the volume, in cubic inches, of a cone with a diameter of 6 inches and a height of 7 inches? Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point)
cubic inches
Remaining Attempts : 3
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Answer 1

To calculate the volume of a cone, you can use the formula:

\[
V = \frac{1}{3} \pi r^2 h
\]

where \( V \) is the volume, \( \pi \) is approximately 3.14, \( r \) is the radius, and \( h \) is the height of the cone.

1. First, find the radius of the cone. The diameter is 6 inches, so the radius \( r \) is half of that:

\[
r = \frac{6}{2} = 3 \text{ inches}
\]

2. Next, plug the radius and height into the volume formula. The height \( h \) is given as 7 inches:

\[
V = \frac{1}{3} \times 3.14 \times (3)^2 \times 7
\]

3. Calculate \( (3)^2 \):

\[
(3)^2 = 9
\]

4. Substitute that back into the volume formula:

\[
V = \frac{1}{3} \times 3.14 \times 9 \times 7
\]

5. Calculate \( 9 \times 7 \):

\[
9 \times 7 = 63
\]

6. Now substitute that into the formula:

\[
V = \frac{1}{3} \times 3.14 \times 63
\]

7. Calculate \( 3.14 \times 63 \):

\[
3.14 \times 63 \approx 197.82
\]

8. Finally, divide that by 3 to find the volume:

\[
V = \frac{197.82}{3} \approx 65.94
\]

Therefore, the volume of the cone is approximately **65.94 cubic inches**.