SATHEE: Quantitative Aptitude Ques 1140

Quantitative Aptitude Ques 1140

Question: If the radius of the sphere is increased by 2 cm, its surfaces area increases by $ 352cm^{2}. $ The radius of the sphere before increase was

Options:

A) 3 cm

B) 4 cm

C) 6 cm

D) 6 cm

Show Answer

Answer:

Correct Answer: D

Solution:

Let the radius of the sphere be r cm. Then, surface area of sphere $ =4\pi r^{2} $ According to the question, $ 4\pi {{(r+2)}^{2}}=4\pi r^{2}+352 $

$ \Rightarrow $ $ 4\pi {{(r+2)}^{2}}-4\pi r^{2}=352 $

$ \Rightarrow $ $ 4\pi [{{(r+2)}^{2}}-r^{2}]=352 $

$ \Rightarrow $ $ 4\pi [4+4r]=352 $

$ \Rightarrow $ $ (r+1)=\frac{352\times 7}{4\times 22\times 4} $

$ \Rightarrow $ $ r+1=7 $
$ \Rightarrow $ $ r=6cm $

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Quantitative Aptitude Ques 1140

Question: If the radius of the sphere is increased by 2 cm, its surfaces area increases by $ 352cm^{2}. $ The radius of the sphere before increase was

Options:

Answer:

Solution:

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