Question
The radius of a hemisphere is 6 cm. A cylinder with the
same radius and height is placed inside the hemisphere. Find the volume of the remaining portion of the hemisphere that is not occupied by the cylinder.Solution
Volume of the hemisphere = (2/3)πr³, Volume of the cylinder = πr²h, Given: r = 6 cm, height of the cylinder = 6 cm. Volume of the hemisphere = (2/3)π(6)³ = 432π cm³. Volume of the cylinder = π(6)²(6) = 216π cm³. Remaining volume = Volume of the hemisphere - Volume of the cylinder Remaining volume = 432π - 216π = 216π cm³. Correct option: A) 216π cm³.
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