2022 · Q64
The radius and height of a right circular cone are in the ratio 3 : 7. If the volume of the cone is 528 cm³, then what is the height of the cone? (Take π=(22)/(7))
Elementary MathematicsMensuration
- A3.5 cm
- B7.0 cm
- C10.5 cm
- D14.0 cm
Explanation
With r = 3k, h = 7k: (1/3)(22/7)(9k²)(7k) = 66k³ = 528 gives k = 2, so h = 14 cm. Hence the keyed option is D.