Question

A water tank is created by revolving the graph y=1/x about the y-axis, with the bottom of tank at y = 1. The volume of the tank is given by v(h)=integral of pi/y^2 dy from 1 to h where h is the height of the water in the tank. Initially, the tank is empty, but water begins to flow into the tank at a rate of 1.5 cubic feet per minute. Determine how fast the level of the water is rising when the water is 2 feet deep.

3ft/min, 6ft/min, 9ft/min, 13.5ft/min, 18ft/min

Answer 1

@perl

Answer 2

@Nnesha

Answer 3

@shawmoes

Answer 4

do you see how they get the integral?

Answer 5

No