Differentiation

kelfaru

A hemispherical bowl of radius 8 cm contains water which is flowing into it at a constant rate. When the height of the water is h cm, the volume V cm^3 of the water in the bowl is given by

                      V= pi(8h^2 - (1/3)h^3)

Find the rate at which the water level is rising when h=5, given that the time taken to fill the bowl is 2 minutes.

Answer:0.052 cm s^-1

數學神童

the main problem here is that we don have dv/dt. therefore we need to find the dv/dt.  dv/dt=volume/time
                   =(2/3)(pi)(r^3)/(120)
                   =128(pi)/45

kelfaru

计算机的答案是不是 0.051717171...

kelfaru

the main problem here is that we don have dv/dt. therefore we need to find the dv/dt.  dv/dt=volume/ ...
數學神童 发表于 19-5-2010 10:30 PM

    计算机的答案是不是 0.051717171...