Question
no 6 pls
d and i by radar he vertical of the the what and this diarce blown imo a spherical bolkoon that increases deadily ncreave of the volume b) Find the rate of increasa of the voume of the balloon when vowmo w 5. An inverted conical tank is 3 m high with damener at the of 12 woner tus irla The a rate of 0.5 m imiu. How fast is the level in the ark nsing when the depth althe 6. A cylindrical lank has a radius of3 m and a depth of LO nr.water pours od through a crack a rate orsm in How fast is the level of the waler falling?
Explanation / Answer
Mass balance equation for the tank is
rate of mass in- rate of mass out = rate of mass accumulation
0-5= d/dt(density*g*h)
denisty of water =1000 kg/m3 and g= 9.8 m/sec2
-5 = d/dt(1000*9.8*h)
dh/dt= -5/(9.8*1000)=0.0051 n/min