SATHEE: Quantitative Aptitude Ques 20

Quantitative Aptitude Ques 20

Question: If a hemisphere is melted and four spheres of equal volume are made, then the radius of each sphere will be equal to

Options:

A) $ \frac{1}{4}th $ of the radius of the hemisphere

B) radius of the hemisphere

C) 1/2 of the radius of the hemisphere

D) $ \frac{1}{6}th $ of the radius of the hemisphere

Show Answer

Answer:

Correct Answer: C

Solution:

Let the radius of hemisphere = R and radius of each sphere = r

$ \therefore $ $ \frac{2}{3}\pi R^{3}=4\times \frac{4}{3}\pi r^{3} $
$ \Rightarrow $ $ \frac{1}{8}R^{3}=r^{3} $

$ \Rightarrow $ $ \frac{r^{3}}{R^{3}}=\frac{1}{8} $
$ \Rightarrow $ $ \frac{r}{R}=\frac{1}{2} $

$ \therefore $ $ r=\frac{R}{2} $

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Quantitative Aptitude Ques 20

Question: If a hemisphere is melted and four spheres of equal volume are made, then the radius of each sphere will be equal to

Options:

Answer:

Solution:

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