Lots of points a cylindrical water tank is 3 meters in diameter and 6 meters tall. water drains out of a hole at the bottom. the flow rate is proportional to the sqrt(d), the square root of the depth of the water in the tank, and is therefore also proportional to sqrt(v), the square root of the volume of the water in the tank. do each of the following a: write an appropriate differential equation. integrate to solve the equation for v b: v0 = 40 m^3 , and at first dv/do = -1.6 (m^3/min) find the particular solution c: if water flowed consistently at 1.6 m^3/min, it would require 25 minutes for the tank to empty. explain why this is not the case d. will there be a time when the tank is completely empty or will v asymmetrically approach zero? if there is a time, find it e. draw an appropriate graph (if you could just kinda tell me what it should semi look like) i know this is a lot but i’m so stuck. to anyone who can with any of it!