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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. 

What is 314 inches cubed?

100

The volume of a cylinder whose radius is 4 feet and whose height is 3 feet, rounded to the nearest WHOLE number. 

V= πr2h

What is 151 ft cubed?

100

The volume of a sphere with a radius of 5 feet. V=4/3πr?

What is 523.3 cubic 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 maximum 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, rounded to the nearest WHOLE number. 

What is 1063 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 Grouping structures (parentheses), Exponents, Multiplication/Division, and Addition/Subtraction (GEMDAS/PEMDAS)

300

The volume of a cone whose height is 7.8mm and whose diameter is 6.4mm, rounded to the nearest WHOLE number. 

What is 84 cubic mm?

300

Jamie Lee decides to start saving water by collecting rain in a barrel.  Jamie Lee buys a barrel 2 feet across and 3.5 feet tall. What is the total volume of rain that she can collect? (rounded to the nearest WHOLE number)

What is 11 cubic feet?

300

Sabrina 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 Sabrina's asteroid?

What is 26508.4 cubic feet?

300

Solve the equation:                                              3(2x - 5) = 10x - 3

What is x = -3?

300

The formula for finding the volume of a cone.

What is one-third times pi times r-squared times height.

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

A tennis court has a ball basket shaped like a cylinder - if the basket has a base which is 2 feet across and it is 4 feet tall, what is the approximate volume of the basket, rounded to the nearest WHOLE number.

What is 13 cubic feet?

400

In the summers, Michael Phelps runs an ice cream parlor in Hull, MA. Michael Phelps orders ice cream in cylindrical cartons that have a volume of 1178 cubic centimeters. Using a scoop that is 4 centimeters in diameter, approximately how many (perfectly spherical) scoops will Michael Phelps get out of each carton?

What is 35 scoops?

400

The population of Glendale is about 4.8x10(people). What is the population of Glendale in standard notation?

What is 4,800?

400

4 days ago, Emily filled a balloon with helium (that is a perfect sphere) to a radius of 7 cm. Since then, the balloon has lost air and now has HALF of its original volume. What is the new volume, rounded to the nearest whole number?

What is 718 cm3?

500

This is the height of a cone whose volume is 307.72 cubic centimeters and has a diameter of 14 centimeters.

What is 6 centimeters?

500

Bruce Wayne is playing outside when he discovers a cylindrical well about 5 feet across. Bruce is not sure how deep it is, so he decides to get a hose and fill it up. Bruce's hose can deliver 100 cubic feet of water every hour. About how many vertical feet would Bruce fill in one hour?

What is a height of 5ft?

500
This is the radius of a sphere whose volume is 113.04 ft cubed.
What is 3 feet?
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

What number is equivalent to 10,000?

What is 1?