A cylinder has constant radius 4 cm and height increasing at 3 cm s⁻¹. Find dV/dt.
Options

Question

A cylinder has constant radius 4 cm and height increasing at 3 cm s⁻¹. Find dV/dt.

G1 Physics · Accepted Answer

V=πr²h. With r constant: dV/dt=πr² dh/dt =π(16)(3)=48π cm³ s⁻¹.