# Answer to Question #26807 in Calculus for shoooterm

Question #26807

The total surface area S of a right circular cylinder is related to the base radius r and height h by the equation S=2πr^2+2πrh

a) How is dS/dt related to dr/dt and dh/dt if neither r nor h is a constant?

b) How is dS/dt related to dr/dt if h is constant?

c) How is dS/dt related to dr/dt if r is constant?

a) How is dS/dt related to dr/dt and dh/dt if neither r nor h is a constant?

b) How is dS/dt related to dr/dt if h is constant?

c) How is dS/dt related to dr/dt if r is constant?

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