Radius of a sphere is increasing at the rate of 2 cm/s. The rate at which its volume increasing when its radius is 10 cm is ______

Bradley Collier

Bradley Collier

Answered question

2022-12-29

Radius of a sphere is increasing at the rate of 2 cm/s. The rate at which its volume increasing when its radius is 10 cm is ______

Answer & Explanation

Yosef Santana

Yosef Santana

Beginner2022-12-30Added 8 answers

Volume of a sphere  V = 4 3 π r 3 Rate of change of radius  d r d t = 2   c m / s  and radius  r = 10 c m Rate of change of volume is given by  d V d t d V d t = 4 π r 2 d r d t = 4 π × 10 2 × 2 = 800 π   c m 3 / s

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