1)An oil storage tank has the shape of a paraboloid with a radius of 5ft and a height of 9ft. Oil flows into the tank at the rate of 8 cubic feet/min. The volume of the tank is V=(50*pi*h^(3/2))/3.
a)Find the volume of a full tank
b)How long would it take to fill the tank if it was initially empty?
c)How fast is the height of oil increasing when h=4?
I need help on where to start. I am usually pretty good at this stuff but I am lost on this one. Like finding the volume? Is that dV/dT?
2)A container has the shape of an open right circular cone. The height of the container is 10cm and the diameter or the opening is 10cm. Water in the container is evaporating so that its depth, h, is changing at a constant rate of -3/10 cm/hr.
a)Find the volume V of water in the container when h=5 cm.
b)Find the rate of change of the volume of water in the container, with respect to time, when h=5 cm.
I need help on where to start.