Question

Water is being poured into a conical reservoir at the rate of pi cubic feet per second. The reservoir has a radius of 6 feet across the top and a height of 12 feet. At what rate is the depth of the water increasing when the depth is 6 feet?

Answer 1

V = 1/3 pi r^2h
You have been given dV/dt So use implicit differentiation, substitute and solve for dh/dt

Answer 2

thanks for that still trying to solve problem though XD

Answer 3

What's XD?

Answer 4

I got 1/2 ft/sec

Answer 5

can u explain?

Answer 6

ugh im never going to get this =(

Answer 7

i got 9 pi