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.
Deepak BoraNewbie
If the volume of a sphere is 179 2/3 cube cm, Find its radius and surface area.
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Given volume of the sphere is
cube cm
(4/3)πr3 =
= 539/3
(4/3)×(22/7)×r3 = 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.