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Question

Mathematics Question on Application of derivatives

If the volume in cm3cm^3 and surface area in cm2cm^2 of a sphere are numerically equal. Then the radius of the sphere (in cm) is:

A

2

B

3

C

4

D

5

Answer

3

Explanation

Solution

Given, volume of sphere = surface area of sphere 43πr3=4πr2\Rightarrow \, \frac{4}{3} \pi r^3 = 4 \pi r^2 r=3\Rightarrow \, r = 3