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IM 8.5.16 Lesson: Finding Cone Dimensions

For each equation, decide what value, if any, would make the equation true.

The volume of a cone with radius is given by the formula . The volume of this cone with height 3 units and radius is cubic units. This statement is true: What does the radius of this cone have to be? Explain how you know.

Each row of the table has some information about a particular cone. Complete the table with the missing dimensions.

A frustum is the result of taking a cone and slicing off a smaller cone using a cut parallel to the base. Find a formula for the volume of a frustum, including deciding which quantities you are going to include in your formula.

A movie theater offers two containers:

Which container is the better value? Use 3.14 as an approximation for .