A water tank has the shape of an inverted circular cone (point down) with a base of radius 6 feet and a depth of 8 feet. Suppose that water is being pumped into the tank at a constant rate of 4 cubic feet per minute. Find the rate at which the water level is rising when the water in the tank is 4 feet deep. [Note the water depth changed.] When the water in the tank is 4 feet deep, what is the radius of the tank at that height? Use your formula that relates the variables, their rates of change, and the given rate of change to determine the rate at which the height of the water is changing when the water is 4 ft deep.

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.