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Question

Mathematics Question on Application of derivatives

Air is blown into a spherical balloon. If its diameter d is increasing at the rate of 3 cm/min, then the rate at which the volume of the balloon is increasing when d = 10 cm, is

A

120πcm3/min

B

150πcm3/min

C

100πcm3/min

D

180πcm3/min

E

210πcm3/min

Answer

150πcm3/min

Explanation

Solution

The correct option is (B) : 150πcm3/min