SATHEE: Quantitative Aptitude Ques 1732

Quantitative Aptitude Ques 1732

Question: A metallic sphere of radius 12 cm is melted into three smaller spheres. If the radii of two smaller spheres are 6 cm and 8 cm, the radius of the third is

Options:

A) 14 cm

B) 16 cm

C) 10 cm

D) 12 cm

Show Answer

Answer:

Correct Answer: C

Solution:

Let radius of the third sphere be r cm. Then, $ \frac{4}{3}\pi \times {{(12)}^{3}}=\frac{4}{3}\pi \times {{(6)}^{3}}+\frac{4}{3}\pi \times {{(8)}^{3}}+\frac{4}{3}\pi r^{3} $

$ \Rightarrow $ $ {{(12)}^{3}}={{(6)}^{3}}+{{(8)}^{3}}+r^{3} $

$ \Rightarrow $ $ r^{3}=1728-216-512 $
$ \Rightarrow $ $ r^{3}=1000 $

$ \therefore $ $ r=10cm $

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Quantitative Aptitude Ques 1732

Question: A metallic sphere of radius 12 cm is melted into three smaller spheres. If the radii of two smaller spheres are 6 cm and 8 cm, the radius of the third is

Options:

Answer:

Solution:

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