Question: What is the volume of a frustum of a cone with a radius of 3 cm at the top, 5 cm at the bottom, and a height of 4 cm?

Options:

1. 40.84 cm³
2. 30.00 cm³
3. 50.24 cm³
4. 60.00 cm³

Correct Answer: 40.84 cm³

Solution:

Volume = (1/3)πh(R² + Rr + r²) = (1/3)π(4)(5² + 5*3 + 3²) = (1/3)π(4)(25 + 15 + 9) = (1/3)π(4)(49) ≈ 40.84 cm³.