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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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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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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