A cylinder has constant height 10 cm and radius increasing at 0.2 cm s⁻¹. Find dV/dt when r = 5 cm.
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Question

A cylinder has constant height 10 cm and radius increasing at 0.2 cm s⁻¹. Find dV/dt when r = 5 cm.

G1 Physics · Accepted Answer

V=πr²h. dV/dt=2πrh dr/dt =2π(5)(10)(0.2)=20π cm³ s⁻¹.