Question

A certain cylindrical tank holds 20,000 gallons of water, which can be drained in 20 minutes. The volume V of water remaining in the tank after t minutes is given by the functioin
V(t)=20,000(1- (t/20))^2, where V is in gallons, t=0 represents the instant the tank started draining. How fast is the water draining four and a half minutes after it begins?

A) 1,000 gallons/minute
B) 9,000 gallons/minute
c) 1.550 gallons/minute
d) 3,050 gallons/minute
e) 800 gallons/minute

Answer 1

just another derivative problem.
whatcha got?

Answer 2

It is 1,550 gallons/minute

at time t = 4.5, the tank is draining at the rate of 1,550 gallons/minute