Question 100

From a cube of side 6 cm, a hemisphere of maximum volume is scooped out. What is the remaining volume?

Solution

vol of cube$$= 6*6*6=216 cm^3$$

radius of max.hemisphere=3cm

vol. of hemisphere= $$\frac{2}{3}\pi\ 3^3=18\pi\ .$$

vol. of remaining part=$$\left(216-18\pi\right)\ cm^3.$$

C is correct choice.

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