Q.

If the rate of change in the volume of sphere is equals to thrice the rate of change in its radius then the radius is

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a

12π

b

32π

c

12π

d

2π

answer is B.

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Detailed Solution

dvdt=3drdt         v=43πr3         dvdt=43.3πr2drdt         3drdt=4πr2drdt         r2=34π         r=32π
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