ABC26GN5039 · Volume and Surface Area
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
In what ratio are the volumes of a cylinder, a cone and a sphere, if each has the same diameter and the same height?
(a)1 : 3 : 2
(b)2 : 3 : 1
(c)3 : 1 : 2
(d)3 : 2 : 1
Answer
Explanation
Let radius $=R$ and height $=H$. Then, Ratio of their volumes $$\begin{aligned} & =\pi R^{2} H: \frac{1}{3} \pi R^{2} H: \frac{4}{3} \pi R^{3}=H: \frac{1}{3} H: \frac{4}{3} R \\ & =H: \frac{1}{3} H: \frac{4}{3} \times \frac{H}{2}=3: 1: 2 .\left[\text { In sphere, } H=2 R \text { or } R=\frac{H}{2}\right] \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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