To find the volume of a cone, you can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( r \) is the radius, \( h \) is the height, and \( \pi \) is approximately 3.14.
- First, calculate the radius \( r \). Since the diameter is 6 inches, the radius is:
\[ r = \frac{6}{2} = 3 \text{ inches} \]
- Now, substitute \( r \), \( \pi \), and \( h \) into the volume formula. The height \( h \) is 7 inches:
\[ V = \frac{1}{3} \times 3.14 \times (3)^2 \times 7 \]
- Calculate \( (3)^2 \):
\[ (3)^2 = 9 \]
- Substitute back into the volume equation:
\[ V = \frac{1}{3} \times 3.14 \times 9 \times 7 \]
- Calculate \( 9 \times 7 \):
\[ 9 \times 7 = 63 \]
- Substitute back to find the volume:
\[ V = \frac{1}{3} \times 3.14 \times 63 \]
- Now calculate \( 3.14 \times 63 \):
\[ 3.14 \times 63 = 197.82 \]
- Now divide by 3:
\[ V = \frac{197.82}{3} \approx 65.94 \]
Finally, round this to the nearest whole number:
\[ V \approx 66 \text{ cubic inches} \]
Thus, the volume of the cone is approximately 66 cubic inches.
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