Application of Volume to Solve a Real World Problem
Make sure you have the proper units on each problem presented.
- What is the volume of each ball? (3 points)
r= radius = 3 inches (Use Volume of Sphere Formula)
- What is the diameter of each ball? (1 point)
2r = diameter
- What is the height of the cylinder? (2 points)
Look at diagram….How many diameters equal the height of the cylinder?
- What is the volume of the cylinder? (3 points)
(Use Volume of Cylinder Formula)
- What is the volume of the two balls in the diagram? (1 point)
Add the volume of 2 spheres. (See problem #1).
6. How much space is not occupied by the balls? (2 points)
Think about the cylinder. If it contains 2 balls- how much physical space is left or remaining? Look at diagram. You should be thinking of an operation named: Subtraction or Finding the Difference.
Application of Scientific Method
Kandace is doing her National History Day presentation. She has gathered the following information from the internet.
The population of Metro Atlanta is estimated to be 5,400,000. The population of Georgia is 1 x 108. The population of the United States is 316,000,000. The population of the World is 7.12 x 109.
Unfortunately, all of the information was not expressed in the same format. Please help her out by completing the following:
WHICH OF THESE FIGURES IS BOGUS OR IMPOSSIBLE!!!
7.Write the population of Metro Atlanta in scientific notation. (1 point)
Means 1 digit to left of the decimal.
5,400,000 = 5.4 x 106
8. Write the population of Georgia in standard form. (1 point)
1 x 108 = 100,000,000
9. Write the population of the United States in scientific notation. (1 point)
316,000,000 = 3.16 x 108
10. Write the population of the World in standard form. (1 point)
7.12 x 109= 7,120,000,000
11. About how many times bigger is the population of the World than the population of the United States? Round to two significant digits after the decimal. (3 points) You should divide.
7.12 x 109 divided by 3.16 x 108 =2.253 x 10 9-8 = 2.253 x 10 1 = 22.53 times
Application of Scientific Notation
Decide whether this headline is true using the following information.
Everyday 7% of Americans Eat at Giantburger
- There are about 8 × 103
Giantburger restaurants in America.
- Each restaurant serves about 2.5 × 103 people every day.
- There are about 3 × 108 Americans.
Explain your reasons and show clearly how you figured it out.
Step One: Convert Scientific Notation to Standard Form
8 × 103 = 8,000 restaurants
2.5 × 103 = 2500 people served by each restaurant
3 × 108 = 300,000,000 number of Americans
Step Two: Calculate Value for 7% of Americans
Multiple or Find 7/100. 300,000,000 x 0.07 = 21,000,000 people
7/100 = x/300,000,000 = 21,000,000 people
Step Three: Calculate How Many Americans Eat Giantburgers Daily
Multiply # restaurants x people eating at restaurant daily =
8,000 x 2,500 =20,000,000 people eat at Giantburger daily
Step Four: Compare the Numbers
21,000,000 peoplerepresents 7% of America
20,000,000 people actually eat at Giantburger daily based on data provided
Step Five: Explain Your Final Analysis
20,000,000 does NOT represent exactly 7% of American population… If using estimates information is close.
20,000,000/300,000,000 = 6.66% of American population.
But the real American population is currently MORE than 300,000,000…so the advertisement is FALSE.
If you are rounding the 6.66 up to the nearest percent, then the statement can be considered TRUE based off of information provided and the population data provided.