# Science:Math Exam Resources/Courses/MATH104/December 2011/Question 04

MATH104 December 2011
Other MATH104 Exams

### Question 04

A conical tank of height of 5 metres and top radius 4 metres is filled with water and then drains into a cylindrical container of height 5 metres and radius 4 metres. If the water level in the conical tank drops at a constant rate of 0.5 metres per minute, at what rate does the water level in the cylindrical tank rise when the water level in the conical tank is 3 metres? The volume of a cone of radius r and height h is $V=(1/3)\pi r^{2}h$ . The volume of a cylinder of radius R and height H is $V=\pi R^{2}H$ .

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