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 $
BETA
