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.  3. Carry out your plan from question 2. What is the volume of the globe on the new gumball machine? You can round your final answer to the nearest whole number. Be sure to check your work.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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. 

3. Carry out your plan from question 2. What is the volume of the globe on the new gumball
machine? You can round your final answer to the nearest whole number. Be sure to check your
work. 

4. Is your answer to question 3 the real solution or an extraneous solution? Explain how you
know

5. The giant gumball machine will dispense gumballs that are 1” in diameter. To the nearest
gumball, how many will fit in the globe? You can round your final answer to the nearest whole
number. 

6. Once the new machine is installed, the cost per gumball will be $0.25. If, during the first
month, 20% of the gumballs in the machine are sold, how much money will the candy store
earn? Assume the gumball machine was initially filled to capacity. Show your work.

 

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 V = ³.
Transcribed Image Text: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 V = ³.
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