Quantitative Aptitude Ques 1081

Question: The radii and volumes of a cone and a sphere are same. The ratio of diameter of sphere to the height of cone is

Options:

A) 3 : 1

B) 1 : 3

C) 6 : 1

D) 1 : 2

Show Answer

Answer:

Correct Answer: D

Solution:

  • [d] Given, $ V _1=V _2 $

$ \therefore $ $ \frac{1}{3}\pi r_1^{2}h _1=\frac{4}{3}\pi r_2^{3} $ $ [\because r _2=r _1] $

$ \Rightarrow $ $ \frac{h _1}{r _2}=\frac{4}{1} $
$ \Rightarrow $ $ \frac{h _1}{d _2}=\frac{2}{1} $
$ \Rightarrow $ $ d _2:h _1=1:2 $

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