Question 32
Mensuration of SolidsA cone and a cylinder are of equal volume. The base radius of the cone is twice the radius of the cylinder. What is the ratio of the height of the cylinder to that of the cone?
- A.5 : 4
- B.4 : 3
- C.3 : 2
- D.3 : 4
Show the answer and explanation
Answer: B (4 : 3)
Explanation
With cylinder radius r: (1/3)π(2r)²hcone = πr²hcyl, so hcyl = (4/3)hcone and the ratio is 4 : 3.