Related Rates Right circular cylinder The total surface area S of a right ci...

Related Rates

Right circular cylinder The total surface area S of a right circular cylinder is related to the base radius r and height h by the equation

a. How is dS/dt related to dr/dt if h is constant?

b. How is dS/dt related to dr/dt if r is constant?

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

d. How is dS/dt related to dr/dt if S is constant?