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Math Potpourri
(Could be Anything!)
100
The volume of a cone that has a radius of 5 inches and a height of 12 inches. V= 1/3πr^2h
What is 314 inches cubed?
100

The volume of a cylinder whose radius is 4 feet and whose height is 3 feet. V= πr2h

What is 150.72 ft cubed?

100
The volume of a sphere with a radius of 5 feet. V=4/3πr^3
What is 523.3 feet?
100
What is 0.48 written as a fraction in simplest terms?
What is 12/25?
100
The value of 4 cubed
What is 64?
200
You get a snow cone at the fair. The paper cone you get has an opening of 2 inches in diameter and is 5 inches tall. It is really hot outside and your snow cone melts! What is the approximate volume of the melted sugar water in your paper cone?
What is 5.2 inches cubed?
200
The volume of a cylinder whose radius is 4.8 inches and has a height of 14.7 inches.
What is 1063.48 cubic inches?
200
The volume of a sphere whose diameter is 8cm.
What is 267.95 cubic centimeters?
200
Solve: 15 less than the product of 8 and 9.
What is 57?
200
List the Order of Operations (not just the letters!)
What is Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction PEMDAS
300
The volume of a cone whose height is 7.8mm and whose diameter is 6.4mm
What is 83.60?
300
Emma Stone decides to start saving water by collecting rain in a barrel. Emma Stone buys a barrel 2 feet across and 3.5 feet tall. What is the total volume of rain that Emma Stone can collect?
What is 10.99 cubic feet?
300
Selena Gomez is out for a hike when she stumbles upon an asteroid half-imbedded in the ground. The asteroid is almost perfectly spherical and is 37 feet in diameter. What is the volume of Selena Gomez's asteroid?
What is 26508.4 cubic feet?
300
Solve the equation: 3(2n-5)=10n-3
What is n=-3?
300

The formula for finding the volume of a sphere.

What is (4πr3)/3?

400

You visit two ice cream shops, and both have delicious waffle cones. They both charge the same amount for the cones, but they are different sizes. Shop A's cones are 3 inches in diameter and 8 inches tall. Shop B's cones are 2.5 inches in diameter and 9 inches tall. Which shop gives you more ice cream?

What is shop A?

400

Disney has built a new cylindrical office building at its headquarters in Burbank, California, and they are negotiating the air conditioning contract. Companies typically charge $0.05 per cubic foot each year. Given that the tower is 400 feet tall and 200 feet across. This is about how much it will cost Disney to cool the building each year.

What is $628,000?

400

In the summers, Michael Phelps runs an ice cream parlor in Hull, MA. Michael Phelps orders ice cream in cylindrical cartons that are 10 centimeters in diameter and 15 centimeters tall. This is the amount of ice cream in each container. 

What is 1177.5cm3?

400

The population of Glendale is about 12t + 250,000. The population of Oakwood is about 8t - 100,000. About how much larger is Glendale than Oakwood?

What is 4t + 350,000?

400

4 days ago, Emily blew up a balloon (that is a perfect sphere) to a radius of 6 cm. Since then, the balloon has lost half of its air. This is the current volume of the balloon.

What is 452.16cm3?

500

This is the volume of a cone with a height of 6 cm and has a radius of 7 centimeters.

What is 333.2cm3?

500

Bruce Wayne is playing outside when he discovers a cylindrical well about 5 feet across. Bruce climbs down and finds out that it is 27 feet deep. He decides to fill it in with dirt. He needed this much dirt to fill the well. 

What is 529.88 cubic feet?

500

This is the volume of a sphere whose radius is 3 feet.

What is 113.04ft3?

500

A gym membership at gym A charges an initial fee of $100 and then a $25 fee every month. Gym B charges a flat fee of $45 every month. After how many months will the cost for both memberships be the same?

What is 5 months?

500

Your friend earns the following scores on math tests: 87%, 95%, 92%, 97%, and 86%. This is their mean score on math tests so far this year, rounded to the nearest whole percent. 

What is 91%?

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