The radius r and height h of a right circular cone are related to the cones volume

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The radius r and height h of a right circular cone are related to the cone’s volume V by the equation V = (1/3)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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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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