SOLUTION: Find the rate at which the volume of a right circular cylinder of constant altitude 10ft changes with respect to its diameter when the radius is 5ft is zero.
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Question 1119545: Find the rate at which the volume of a right circular cylinder of constant altitude 10ft changes with respect to its diameter when the radius is 5ft is zero.
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
The statement of the problem makes no sense: "...when the radius is 5 ft is zero."
I can only assume that the question was supposed to read "... when the radius is 5 feet."
The formula for the volume of a cylinder is
The height h is fixed at 10. The problem asks for the rate of change of volume with respect to diameter; so we need the volume equation in terms of the diameter:
Then dV/dd is
When the radius is 5, the diameter is 10, so when the radius is 5 the rate of change of volume with respect to diameter is
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