10 inches
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Use the formula for the volume of a cone:
- V = (1/3)πr²h, where V is the volume, r is the radius of the base, and h is the height of the cone.
Given:
- Volume of the cone, V = 1570 in³
- Height of the cone, h = 15 inches
We rearrange the formula to solve for r:
Now, substitute the known values and solve:
- r² = (3 * 1570) / (π * 15)
- r² = (4710) / (47.12388980384689)
- r² ≈ 100
Take the square root of both sides:
Therefore, the radius of the cone is 10 inches.
