For a sphere of radius 10 cms. the numerical value of the surface area is how many per cent of the numerical value of its volume?

Q: For a sphere of radius 10 cms. the numerical value of the surface area is how many per cent of the numerical value of its volume?

Surface area sphere = 4π x (10)2 volume sphere=4π/3 x (10)3 = (4000π/3) cm3 ∴ Required percentage = {(400π x 3) / (4000π)} x 100 % = 30%

24%
26.5%
30%
45%

Correct Answer: 30%

Explanation:

Surface area sphere = 4π x (10)²
volume sphere=4π/3 x (10)³
= (4000π/3) cm³
∴ Required percentage = {(400π x 3) / (4000π)} x 100 %
= 30%

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