To calculate the volume of a cone, you can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
Where:
- \( r \) is the radius of the base of the cone,
- \( h \) is the height of the cone.
Given:
- Radius \( r = 5 \) inches
- Height \( h = 10 \) inches
Now, plug the values into the formula:
\[ V = \frac{1}{3} \pi (5^2) (10) \] \[ V = \frac{1}{3} \pi (25) (10) \] \[ V = \frac{1}{3} \pi (250) \] \[ V = \frac{250\pi}{3} \]
Now, using the approximate value of \( \pi \approx 3.14 \):
\[ V \approx \frac{250 \times 3.14}{3} \] \[ V \approx \frac{785}{3} \] \[ V \approx 261.67 \text{ in}^3 \]
Rounding this to one decimal place gives approximately \( 261.7 \) in³.
Therefore, the volume of the cone is approximately 261.7 in³.
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