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  4. If the volume in cm3 and surface area in cm2 of a sphere are numerically equal. Then the radius of the sphere (in cm) is:

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

Application of Derivatives

Solution:

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