1. Sand is being poured into a conical pile in such a way that the height is always one-third of the radius. At what rate is sand being added to the pile when it is 4 feet high if the height is increasing at 2 in./min? 2. A poster must have 32 square inches of printed matter with margins of 4 inches each at the top and bottom, and 2 inches at each side. Find the dimensions of the whole poster if its area is a minimum.
1. Sand is being poured into a conical pile in such a way that the height is always one-third of the radius. At what rate is sand being added to the pile when it is 4 feet high if the height is increasing at 2 in./min? 2. A poster must have 32 square inches of printed matter with margins of 4 inches each at the top and bottom, and 2 inches at each side. Find the dimensions of the whole poster if its area is a minimum.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 49E: A lawn roller in the shape of a right circular cylinder has a radius of length 18 in. and a length...
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1. Sand is being poured into a conical pile in such a way that the height is always one-third
of the radius. At what rate is sand being added to the pile when it is 4 feet high if the height
is increasing at 2 in./min?
2. A poster must have 32 square inches of printed matter with margins of 4 inches each at the
top and bottom, and 2 inches at each side. Find the dimensions of the whole poster if its
area is a minimum.
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