Science:Math Exam Resources/Courses/MATH100/December 2010/Question 03/Statement

Full-Solution Problems. In questions 2-8, justify your answers and show all your work. If a box is provided, write your final answer there. Simplification of answers is not required unless explicitly requested.

Two cylindrical swimming pools are being filled simultaneously with water, at exactly the same rate measured in $m^{3}/min$. The smaller pool has a radius of $5m$ and the height of the water in the smaller pool is increasing at a rate of $0.5m/min$. The larger pool has a radius of $8m$. How fast is the height of the water increasing in the larger pool? Your answer must be a specific numerical value.