Question

Volume in cubic inches of a cone with a diameter of six inches and a height of seven inches use 3.14 for pi round your answer to the nearest hundredth

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, \( r \) is the radius, and \( h \) is the height.

1. **Find the radius**: The diameter of the cone is 6 inches, so the radius \( r \) is half of the diameter:

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

2. **Plug in the values**: The height \( h \) is given as 7 inches. Now substitute \( r \), \( h \), and \( \pi \) into the volume formula:

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

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

\[
r^2 = 3^2 = 9
\]

4. **Now substitute \( r^2 \) back into the formula**:

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

5. **Multiply the values**:

\[
9 \times 7 = 63
\]

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

6. **Calculate \( 3.14 \times 63 \)**:

\[
3.14 \times 63 = 197.82
\]

7. **Finally, divide by 3**:

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

Thus, the volume of the cone is approximately:

\[
\boxed{65.94} \text{ cubic inches}
\]