Question
A solid cone and a solid hemisphere have the same radius
and height. If the volume of the cone is 540 cm³, find the volume of the hemisphere.Solution
Volume of a cone = (1/3)πr²h, Volume of a hemisphere = (2/3)πr³. Since the radius and height are the same, the volume of the hemisphere will be double the volume of the cone. Volume of the hemisphere = 2 × 540 = 1080 cm³. Correct option: B) 1080 cm³
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