2025 · Q52
Consider the following for the next two (02) items that follow: A frustum of a right cone has a top of diameter 2k, bottom of diameter 2.5k and height k. What is the volume of the frustum?
Elementary MathematicsMensuration
- A61πk³/48
- B59πk³/48
- C57πk³/48
- D53πk³/48
Explanation
V = (πh/3)(R² + Rr + r²) with R = 1.25k, r = k, h = k: R² + Rr + r² = (25/16 + 20/16 + 16/16)k² = 61k²/16. Hence V = (πk/3)(61k²/16) = 61πk³/48, option (a).