Question

# If volume and surface area of a sphere are numerically equal, then it's radius is:

A
2 units
B
3 units
C
4 units
D
5 units

Solution

## The correct option is B $$3$$ unitsLet the radius of the sphere be $$r$$ Units So, volume of sphere $$=\cfrac { 4 }{ 3 } \pi { r }^{ 3 }$$And, surface area of sphere $$=4\pi { r }^{ 2 }$$Given, Volume = surface area $$\cfrac { 4 }{ 3 } \pi { r }^{ 3 }=4\pi { r }^{ 2 }$$ $$r=3$$ UnitsTherefore, radius of the sphere$$=3$$ Units Mathematics

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