Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2005 · Marks: · Difficulty:
The radii of the bases of two cylinders are in the ratio 3 : 4 and their heights are in the ratio 4 : 3. The ratio of their volumes is
(a)2 : 3
(b)3 : 2
(c)3 : 4
(d)4 : 3
Answer
Answer (as printed): C
Explanation
Let their radii be $3 x, 4 x$ and heights be $4 y, 3 y$. $$\text { Ratio of their volumes }=\frac{\pi \times(3 x)^{2} \times 4 y}{\pi \times(4 x)^{2} \times 3 y}=\frac{36}{48}=\frac{3}{4} \text {. }$$
Explanation as extracted from the printed page; notation may be imperfect.