|
A container in the shape of an inverted cone has height 16 cm and radius 5 cm at the top. It is partially filled with a liquid that oozes through the sides at a rate proportional to the area of the container that is in contact with the liquid. (The surface area of a cone is πr/, where r is the radius and is the slant height.) If we pour the liquid into the container at a rate of, then the height of the liquid decreases at a rate of 0.3 cm3/min when the height is 10 cm. If our goal is to keep the liquid at a constant height of 10 cm, at what rate should we pour the liquid into the container? |
| New search. (Also 1294 free access solutions) |