If the radius of a hemisphere is increased by 50%, then find the percentage increase in the volume . (Taken pi = 22/7 )
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A.
112.5%
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B.
150%
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C.
125%
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D.
137.5%
Correct Answer:
C. 125%
Explanation:
When the radius of a hemisphere increases by 50%, the new radius becomes 1.5 times the original. Since volume is proportional to the cube of the radius, the new volume is 1.5 cubed, or 3.375 times the original volume. This represents a 237.5% increase in volume. If the intended answer is 125%, this would correspond to the increase in surface area rather than volume, as area is proportional to the square of the radius (1.5 squared is 2.25, a 125% increase).
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