Question

related rates

Answer 1

A liquid is flowing into a vertical cylindrical tank of radius 6ft at the rate of 8ft^3/min. how fast is the surface rising?

Answer 2

@marcelie

Answer 3

hmm i would say we would need the formula for a cylinder

Answer 4

\[V = \pi*r^{2}*h \]

Answer 5

my guess is that the volume if the cylinder is changing with respect to h

Answer 6

and differentiate that formula yes

Answer 7

r is a constant. but the level of the water is changing

Answer 8

i guess we might use chain rule here

Answer 9

so my idea is if we find out the rate of change in the water level height, we can figure out what's going on