The radius r and height h of a right circular cylinder are related to the cylinders volume
Question:
The radius r and height h of a right circular cylinder are related to the cylinder’s volume V by the formula V = πr2h.
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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ANSWER a If r is constant then the volume V of the cylinder is directly proportional to h Taking ...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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