Radius of a sphere is 6 cm. The numerical value of the surface area of this sphere is what percentage of the numerical value of its volume?
Show answer & explanation
Correct answer: D
Explanation
The Correct answer is option 4 i.e. 50%
Given that
The radius of a sphere (r) = 6 cm
Formula used
Volume of the sphere V = 4/3πr3
Surface area of the sphere S = 4πr²
Calcualtion
V = (4/3) * (22/7) * 63 = 905.14 cm3
S = 4 * (22/7) * 62 = 452.57 cm2
Hence, the required % = [(905.14 - 452.57)/905.14] * 100 = 50%