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Question

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


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

The correct option is B $$3$$ units
Let 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 
$$\cfrac { 4 }{ 3 } \pi { r }^{ 3 }=4\pi { r }^{ 2 }$$ 
$$r=3$$ Units
Therefore, radius of the sphere$$=3$$ Units 

Mathematics

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