Question

A busy candy store is going to replace their current gumball machine
with a giant gumball machine. The globe on their current gumball
machine is 22" in diameter and its volume is 5,575 cubic inches.
Compared to what has been ordered, the current gumball machine's
volume is 532 cubic inches less than one-fourth the volume of the
globe of the giant gumball machine.
Use the information given to explore some of the mathematical concepts you have practiced so
far by answering the questions below. The formula for the volume of a sphere is .
1. Rewrite the formula for the volume of a sphere so that it is solved for r. Show all your work.
2. Use your answer to question 1 and the information given in the scenario to develop a plan
that you can use to solve for the volume of the globe on the new, giant gumball machine.
I’m

Answer 1

don't know if this is actually the answers but:

1.) V=4/3pi r^3

3V= 4pi r^3

3V/4pi = r^3

3√3V/4 pi = 3√r^3

Answer: r = 3√3V/4pi

2.) Answer: 1/4V - 532 = 4/3pi 22^3