Mark J. answered • 12/03/19

Semi-Retired Mechanical Engineer & Mathematician

Your answer is a

If V= cone volume, r = radius of the base of the cone, h = height of the cone, t = time

The volume of the cone is (pi)r^{2}h/3 we know that h = 2r So volume is (pi)h^{3}/12

When you differentiate, you get dV/dt = (1/4)(pi)h^{2} dh

dh = 10, dv/dt = 30 When you plug in the numbers, you get the desired result!