Radius of sphere is increased by 50%. By how much percentage is surface area is increased? - Just Crack Interview

Radius of sphere is increased by 50%. By how much percentage is surface area is increased?

Radius of sphere is increased by 50%. By how much percentage
is surface area is increased?

Ques:- Radius of sphere is increased by 50%. By how much percentage is surface area is increased?
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2 Answers on this Question

  1. let original radius=100
    original surface area lets say it x =4 * (22/7) * 100 *100
    new radius=100 + 50% of 100=150
    new surface area lets say it y = 4 * (22/7)* 150* 150
    increase in surface area=((y-x)/x) * 100
    i.e.
    ((4*(22/7)*150*150 – 4*(22/7)*100 *100) / (4*(22/7)*100*100))*100
    =125
    so the answer is 125%.
    hope this helps you.

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