Consider a tank in the shape of a right circular cone that is leaking water through the vertex at the bottom. The conical tank has a height of 15 ft and a radius of 4 ft. 1 3 Note: The volume of a right circular cone is V mr2h. - How fast does the depth of the water decrease when the water is 10 ft high if the cone leaks water at a rate of 12 ft³/min? Round to 3 decimal places.

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 57AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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Consider a tank in the shape of a right circular cone that is leaking water through the vertex at the
bottom. The conical tank has a height of 15 ft and a radius of 4 ft.
1
mrh.
3
Note: The volume of a right circular cone is V
-
How fast does the depth of the water decrease when the water is 10 ft high if the cone leaks water at
a rate of 12 ft³/min? Round to 3 decimal places.
The depth of the water decreases at a rate of
ft/min.
Transcribed Image Text:Consider a tank in the shape of a right circular cone that is leaking water through the vertex at the bottom. The conical tank has a height of 15 ft and a radius of 4 ft. 1 mrh. 3 Note: The volume of a right circular cone is V - How fast does the depth of the water decrease when the water is 10 ft high if the cone leaks water at a rate of 12 ft³/min? Round to 3 decimal places. The depth of the water decreases at a rate of ft/min.
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