The radius of a cone is changing at 20cm/min. Find the rate of change of the volume if the radius is 10cm and the height is 40cm.

Answer 1

This is actually a calculus problem involving related rates which is about differentiation.

V=1/3*Π*r²*h

dv/dt=1/3*∏*2r*h

dv/dt=1/3*2*10*20*40 so the if you do the necessary calculation you get the rate of change of volume around 1600 cm³ per second

Answer 2