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Mensuration - Volume And Surface Areas

Question
SSCCGLENQA12042639
Wired Faculty App

If the surface area of sphere is 346.5 cm2, then its radius open square brackets taking space straight pi space equals space 22 over 7 close square brackets is

  • 7 cm

  • 3.25 cm

  • 5.25 cm

  • 9 cm

Solution

C.

5.25 cm

Surface area of sphere:
      equals space space 4 πr squared equals space space 4 space cross times space 22 over 7 space cross times space straight r squared space equals space 346.5 rightwards double arrow space space straight r squared space equals space fraction numerator 346.5 space cross times space 7 over denominator 4 space cross times space 22 end fraction space equals space 27.5625 rightwards double arrow space space straight r space equals space square root of 27.5625 end root space equals space 5.25 space cm
        

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