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A water tank in the shape of a right circular cone_has a height of 10 feet. Thetop rim of the tank is a circle with a radius of 4 feet. If water is being pumpedinto the tank at the rate of 2 cubic feet per minute, what is the rate of changeof the water depth, in feet per minute, when the depth is 5 feet?

THE EXPANDING CYLINDER. Find the rate of change of the volume of a cylinder when its radiusis 6 feet and if its height is always 3/2 times its radius and its radius is increasing at a rate of 2feet per minute.

.If the radius of a spherical balloon increases at a rate of 1.5 inches per minute, find the rate atwhich the surface area changes when the radius is 6 inches.

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4. Mr. Schaefer uses a 40 foot extension ladder leaning against his house to put up his holidaydecorations. The base of the ladder is pulled away (by a disgruntled student) at a rate of 3 feetper second.

How fast is the top of the ladder moving down when the ladder is 20 feet from the base ofthe wall? ~K~...4.o< L~_¢r

ii. How fast is the angle between the ground and the ladder changing?

5. An accident at an oil drilling platform results in a circular spill. The slick is 0.08 feet thick (and/~p, maintains that thickness due to its viscosity). When the radius is 750 feet, the radius of the slick

is increasing at a rate of 0.5 feet per minute. At what rate (in cubic feet per minute) is thevolume of the oil spilling into the ocean?

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distance from home plate changing?

A square baseball diamond has sides that are 90 feetand is running towards third base at a rate of 30 feet

long. A player is 26 feet from third baseper second. At what rate is the players

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