Question

The volume of a cone of a radius r and height h is given by V=(3.14/3)(r^2)(h). If the radius and the height both increase at a constant rate of .5 cm per second, at what rate, in cubic cm per second, is the volume increasing when the height is 9cm and the radius is 6cm.

Answer 1

dV/dt= PI/3(2rh)dr/dt+PI/3(r^2)dh/dt

you are given, r, h,dr/dt, dh/dt