Question 82

If the radius of the cylinder and of a sphere having the same volume as that cylinder is ‘r’ then what is the height of that cylinder?

Solution

volume of sphere = $$\frac{4}{3}$$ $$\pi r^{3}$$

volume of cylinder = $$\pi r^{2}h$$

given that radius and volume of both are same

so $$\frac{4}{3}$$ $$\pi r^{3}$$ = $$\pi r^{2}h$$

$$\Rightarrow\frac{4}{3}r$$ = $$h$$

so the answer is option C.

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