The radius r and height h of a right circular cylinder are related to the cylinder’s volume V by the formula V = pai r2h. a. How is dV/dt related to dh/dt if r is constant? b. How is dV/dt related to dr/dt if h is constant? c. How is dV/dt related to dr/dt and dh/dt if neither r nor h is constant?

Mathematics For Machine Technology
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Author:Peterson, John.
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Chapter81: Introduction To Computer Numerical Control (cnc)
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Problem 4A: A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of...
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The radius r and height h of a right circular cylinder are related to the cylinder’s volume V by the formula V = pai r2h.

a. How is dV/dt related to dh/dt if r is constant?

b. How is dV/dt related to dr/dt if h is constant?

c. How is dV/dt related to dr/dt and dh/dt if neither r nor h is constant?

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