Quantitative Aptitude Ques 1490

Question: If the radius of a cone is doubled, then the volume of the new cone becomes how many times the volume of the original cone?

Options:

A) 4

B) 2

C) 8

D) 6

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let the original radius $ =r $ and original height $ =h $ Original volume $ =\frac{1}{3}\pi r^{2}h $ New radius $ =2,r $ and height $ =h $ New volume $ =\frac{1}{3}\times \pi \times {{(2r)}^{2}}\times h=\frac{4}{3}\pi r^{2}h $ $ =4\times \frac{1}{3}\pi r^{2}h=4\times Originalvolume. $
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