Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2007 · Marks: · Difficulty:
The radii of two spheres are in the ratio 3 : 2. Their volumes will be in the ratio
(a)9 : 4
(b)8 : 27
(c)27 : 8
(d)3 : 2
Answer
Answer (as printed): C
Explanation
Let the radii of the two spheres be $3 r$ and $2 r$ respectively. $$\text { Then, required ratio }=\frac{\frac{4}{3} \pi(3 r)^{3}}{\frac{4}{3} \pi(2 r)^{3}}=\frac{27}{8}=27: 8 .$$
Explanation as extracted from the printed page; notation may be imperfect.