(+)-G.GMD.2
Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.
Example Problems
Consider the following problem:
A savings account balance is growing at a rate of dollars per year (where is the time in years). At year , the balance is $5,500. How much money will be in the account at year ?
Write an expression that can be used to solve the problem.
A savings account balance is growing at a rate of dollars per year (where is the time in years). At year , the balance is $5,500. How much money will be in the account at year ?
Write an expression that can be used to solve the problem.
Consider the following problem:
An oil tank is being drained, and the volume of oil remaining is changing at a rate of liters per hour (where is the time in hours). At time hour, 9,000 liters remain. What volume of oil remains at hours?
Write an expression that can be used to solve the problem.
An oil tank is being drained, and the volume of oil remaining is changing at a rate of liters per hour (where is the time in hours). At time hour, 9,000 liters remain. What volume of oil remains at hours?
Write an expression that can be used to solve the problem.
Consider the following problem:
The number of people in a cafeteria is changing at a rate of people per hour (where is the time in hours). At time , there were 60 people in the cafeteria. How many people were in the cafeteria at hour ?
Write an expression that can be used to solve the problem.
The number of people in a cafeteria is changing at a rate of people per hour (where is the time in hours). At time , there were 60 people in the cafeteria. How many people were in the cafeteria at hour ?
Write an expression that can be used to solve the problem.
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