Question

If radius r and height h of a circular cylinder is increasing at the rate of a and ß with time then find the rate of change of volume of the cylinder with time when r= 2 m and h = 5 m.
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Answer 1

V = πr²h

dv/dt = 2πr dr/dt * dh/dt

dv/dt = 2π (2) *alpha*beta

dv/dt = 4π alpha beta