If space the space radius space of space straight a space sphere space increases space by space 10 percent sign space find space the space percentage space increase
in space the space surface space area.

Please provide solution to this question

Asked by Topperlearning User | 18th Oct, 2017, 02:49: PM

Expert Answer:

Let space the space radius space be space straight R.
After space 10 percent sign space increase space new space radius space will space be space straight R plus fraction numerator 10 straight R over denominator 100 end fraction equals fraction numerator 11 straight R over denominator 10 end fraction
Initial space surface space area equals 4 πR squared
Changed space surface space area equals 4 straight pi open parentheses fraction numerator 11 straight R over denominator 10 end fraction close parentheses squared equals 4 straight pi 121 over 100 straight R squared
Percentage space increase space in space area equals fraction numerator 4 straight pi 121 over 100 straight R squared minus 4 πR squared over denominator 4 πR squared end fraction cross times 100
equals fraction numerator begin display style 121 over 100 minus 1 end style over denominator 1 end fraction cross times 100
equals 21 percent sign

Answered by  | 18th Oct, 2017, 04:49: PM

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