Find the volume V of the described solid S.A frustum of a right circular cone with height h, lower base radius R, and top radius rV =
Question
Find the volume V of the described solid S.
A frustum of a right circular cone with height h, lower base radius R, and top radius r.
Solution
The volume V of a frustum of a right circular cone can be found using the formula:
V = (1/3) * π * h * (r² + R² + r*R)
Where:
- V is the volume,
- h is the height of the frustum,
- r is the radius of the smaller base (top),
- R is the radius of the larger base (bottom),
- π is a mathematical constant whose approximate value is 3.14159.
This formula is derived from the formula for the volume of a cone, subtracting the volume of the smaller cone (top) from the volume of the larger cone (bottom).
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