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9A A right triangle whose hypotenuse is 11 m long is revolved about one of its legs to generate a right circular cone. Find the radius, height, and volume of the cone of greatest volume that can be made this way. The height of the cone is m. (Type an exact answer.) The radius of the cone is m. (Type an exact answer.) m3 The volume of the cone is (Type an exact answer, using t as needed.)

9A A right triangle whose hypotenuse is 11 m long is revolved about one of its legs to generate a right circular cone. Find the radius, height, and volume of the cone of greatest volume that can be made this way. The height of the cone is m. (Type an exact answer.) The radius of the cone is m. (Type an exact answer.) m3 The volume of the cone is (Type an exact answer, using t as needed.)

Elementary Geometry For College Students, 7e
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
Section9.1: Prisms, Area And Volume
Problem 16E: For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and...
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9A A right triangle whose hypotenuse is 11 m long is revolved about one of its legs to generate a right circular cone. Find the radius, height, and volume of the cone of greatest volume that can be made this way. The height of the cone is m. (Type an exact answer.) The radius of the cone is m. (Type an exact answer.) m3 The volume of the cone is (Type an exact answer, using t as needed.)
Transcribed Image Text:9A A right triangle whose hypotenuse is 11 m long is revolved about one of its legs to generate a right circular cone. Find the radius, height, and volume of the cone of greatest volume that can be made this way. The height of the cone is m. (Type an exact answer.) The radius of the cone is m. (Type an exact answer.) m3 The volume of the cone is (Type an exact answer, using t as needed.)
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