Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a rightcircular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when thepile is 16 feet high?Recall that the volume of a right circular cone with height h and radius of the base r is given by V =ftPreviewminGet help: Video

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Asked Jan 12, 2020
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Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right
circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the
pile is 16 feet high?
Recall that the volume of a right circular cone with height h and radius of the base r is given by V =
ft
Preview
min
Get help: Video
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Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 16 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by V = ft Preview min Get help: Video

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Step 1

Given:

Calculus homework question answer, step 1, image 1
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Step 2

The volume of right circular cone with height ‘h’ and radius ‘r’ is given by:

Calculus homework question answer, step 2, image 1
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Step 3
Calculus homework question answer, step 3, image 1
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