Examveda

The radius of a sphere is reduced by 40%. By what percent will its volume decrease?

A. 60%

B. 64%

C. 72.5%

D. 78.4%

Answer: Option D

Solution (By Examveda Team)

$$ - 40\% \to \frac{{ - 2}}{5}$$
Mensuration 3D mcq question image
$$\eqalign{ & {\text{Decrease }}\% = \frac{{98}}{{125}} \times 100 \cr & = \frac{{98 \times 4}}{5} \cr & = \frac{{392}}{5} \cr & = 78.4\% \cr} $$

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