Sawdust is spilling from the bottom of a hopper that has the shape of an inverted right cone. The hopper is 20 meters tall and has a radius of 15 meters at the top. The sawdust level in the hopper is dropping at the rate of 0.2 meters per hour. Based on this information, and knowing that the volume of a right cone is given by V = arh, what is the rate of change in the volume of sawdust in hopper when the sawdust reaches a depth of 18 meters?

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.