A sphere of radius r is melting so that dr/dt = -0.1 cm s⁻¹. Find dV/dt at r = 10 cm.
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A sphere of radius r is melting so that dr/dt = −0.1 cm s⁻¹. Find dV/dt at r = 10 cm.

G1 Physics · Accepted Answer

V=4πr³/3. dV/dt=4πr² dr/dt =4π(100)(−0.1)=−40π cm³ s⁻¹.