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.

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

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