4.1.17 A tank in the form of a straight cylinder is surmounted by a lid in cone shape. The radius of the deposit is 3 meters, and its total area is 31mm².Find the height of the right cylinder and the height of the cone so that the volume of the deposit is maximum

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 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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4.1.17 A tank in the form of a straight cylinder is surmounted by a lid in
cone shape. The radius of the deposit is 3 meters, and its total area is
81mm².Find the height of the right cylinder and the height of the cone
so that the volume of the deposit is maximum
Transcribed Image Text:4.1.17 A tank in the form of a straight cylinder is surmounted by a lid in cone shape. The radius of the deposit is 3 meters, and its total area is 81mm².Find the height of the right cylinder and the height of the cone so that the volume of the deposit is maximum
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