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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 rV =

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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)

Here's how to use this formula step by step:

  1. Square the radius of the top of the cone (r) and the radius of the bottom of the cone (R). This means you'll multiply each radius by itself.

  2. Add the squared radii together.

  3. Multiply the result by the height of the cone (h).

  4. Multiply the result by Pi (π).

  5. Divide the result by 3.

The final result is the volume of the frustum of the cone.

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