Two metallic balls P and Q are such that the diameter of P is four times the diameter of Q. What is the ratio between the volumes of P and Q?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 64 : 1.
Given that
The diameter(D) of a metallic ball P = 4 × the diameter (d)of a metallic ball Q
D = 4d
The volume of a sphere V = πd³/6
The volumes of P/The volume of Q = (πD³/6)/(πd³/6)
= (D/d)3 = (4d/d)3 = 43 = 64/1
Hence, the required ratio = 64 : 1