Quantitative Aptitude Ques 2327

Question: The volumes of a cylinder and a cone are in the ratio 3: 1. Find their diameters and then compare them when their heights are equal.

Options:

A) Diameter of cylinder = Diameter of cone

B) Diameter of cylinder > Diameter of cone

C) Diameter of cylinder < Diameter of cone

D) Diameter of cylinder = 2 times of diameter

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let radii of cylinder and cone be $ r _1 $ and $ r _2 $ respectively. Then, $ \frac{\pi r_1^{2}h}{\frac{1}{3}\pi r_2^{2}h}=\frac{3}{1} $
    $ \Rightarrow $ $ \frac{3r_1^{2}}{r_2^{2}}=\frac{3}{1} $
    $ \Rightarrow $ $ r _1=r _2 $ $ d _1=d _2 $