Science:Math Exam Resources/Courses/MATH 180/December 2017/Question 08 (b)/Statement

Consider two tanks of water, one above the other, as pictured below. The top tank, which is initially full, is a cylinder of radius ${\textstyle R}$ and height ${\textstyle H}$. The bottom tank, which is initially empty, is a cone of radius ${\textstyle R}$ and identical volume as the top tank. Suppose water drains at a constant rate ${\textstyle C}$ from the top tank to the bottom tank.

(b) At the time specified in part (a), is the rate of increase of water depth in the bottom tank equal to, greater than, or less than the rate of decrease of water depth in the top tank? Determine which of these three options is correct, and justify your answer.