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If the volume of a sphere is 179 2/3 cube cm, Find its radius and surface area.

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ICSE Board Question Based on Mensuration Chapter of M.L Aggarwal for class10
In this question If the volume of a sphere is given, Find its radius and surface area.
This is the Question Number 13, Exercise 17.3 of M.L Aggarwal.

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  1. This answer was edited.

    Given volume of the sphere is ML Aggarwal Sol Class 10 Maths chapter 17-10cube cm

    (4/3)πrML Aggarwal Sol Class 10 Maths chapter 17-11 = 539/3

    (4/3)×(22/7)×r= 539/3

    r3 = (539×3×7)/(4×22×3)

    r3 = 49×7/8

    r3 = 7×7×7/(2×2×2)

    Taking cube root on both sides, we get

    r = 7/2 = 3.5 cm

    Surface area of the sphere = 4πr2

    = (4/3)×(22/7)×(7/2)2

    = 22×7

    = 154 cm2

    Hence the radius and the surface area of the sphere is 3.5 cm and 154 cm2 respectively.

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