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SSC CPO 2024 PYQ — Question 130

SSC CPO - 27 June 2024 - Shift 3 • Quantitative Aptitude • Q130

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If the radius of a sphere is increased by 40%, then find the percentage increase in its surface area.

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. 96%.

Given that

The radius of the sphere is increased by 40%

Let the old radius be R

Hence, the new radius is 1.4R

Formula used

Surface area of sphere = 4πr2

Let the old surface area be A

⇒ A = 4πR2

New surface area A' = 4π( 1.4R × 1.4R )2 = 1.96 × 4πR2 = 1.96A

Hence percentage increase = 1.96−11\frac{1.96 - 1}{1} × 100 = 96%