Question

Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing when the pile is 19 feet high? 1/3pi(r^2)(h)

I've been getting V=1/3pih^3

V'=pih^2h'

10/(19^2*pi)=h'

It's marking it wrong idk why...

Answer 1

ahhh it says diameter.... lol

Answer 2

nvm

Answer 3

haha, you deserve a medal for that soultion! :D

Answer 4

thank you haha

Answer 5

0.705ft/sec is the answer
h=d,
v=(3.14*h^3)/12
differentiate both sides
dv/dt=10,h=19,dh/dt=0.705