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