How to solve a word problem involving the cube root

The video tutorial covers solving a geometry problem involving the volume of a sphere. It begins by introducing the formula for volume and emphasizes the importance of identifying and defining variables. The tutorial then demonstrates solving for the radius when given a specific volume and addresses a scenario where the volume is increased by a factor of eight, requiring recalculation of the radius.

Describe the steps taken to simplify the equation when solving for r.

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Explain the process of finding the cube root in the context of this problem.

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What is the new radius if the volume is 288 pi?

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