well,
i figured that dv/dt= -6
and that I am looking for dh/dt
so:
v=(1/3)(pi)(r^2)h
v=(1/3)(pi)(4)h
v=(4/3)(pi)h
dv/dt=(4/3)(pi)(dh/dt)
-6=(4/3)(pi)(dh/dt)
-24/3(pi)= dh/dt
is that right?
1.Suppose the wood nymphs and satyrs are having a hot party in honor of Bacchus and the wine is flowing freely from the bottom of a giant cone-shaped barrel which is 12 feet deep and 6 feet in radius at the top. if the wine is disappearing at a rate of 6 cubic feet per hour, at what rate is the...