A cone of height 12 cm has radius increasing at 0.5 cm s⁻¹ while height remains constant. Find dV/dt when r = 3 cm.
Options

Question

A cone of height 12 cm has radius increasing at 0.5 cm s⁻¹ while height remains constant. Find dV/dt when r = 3 cm.

G1 Physics · Accepted Answer

V=πr²h/3. Since h is constant: dV/dt=(2πrh/3)dr/dt =(2π×3×12/3)(0.5) =12π cm³ s⁻¹.