If a fluid enters a hemisperical vat with a radius of 10 meter, at a rate of 0.5cubic meter per minute, how fast will the fluid be rising when the depth is 5 meter

Answer 1

I JUST DID THIS !!!

Answer 2

http://www.jiskha.com/display.cgi?id=1453063814#1453063814.1453064668

Answer 3

0.0577meter per minute

Answer 4

I get A = pi r^2 = 75 pi
r = 5 sqrt 3
so
dV = pi (75) dh
dV/dt = 75 pi dh/dt
so
dh/dt = .5 m^3/min / (75 pi m^2)
.5/(75 pi) = .00212 m/min