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Formulas
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= πr^2h
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

The difference between radius and diameter.

Radius is half of the diameter

100

Volume of a rectangular & triangular prism

Rectangular Prism: V=lwh

Triangular Prism: V=(lwh)/2

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

The result of dividing a cube by 3

What is a square pyramid

200

Volume of cube

V= s3

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

A composite shape

A shape made of two or more other shapes put together

300

Volume of Cylinder

V= π r2 h

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 window washing contract. Window washing companies typically charge $0.05 per square foot. Given that the tower is 400 feet tall and 200 feet across, about how much will it cost Disney to clean the windows?
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. Using a scoop that is 4 centimeters in diameter, how many (perfectly spherical) scoops will Michael Phelps get out of each carton?
What is 35 scoops?
400

When we don't multiply π

What is in terms of pi

400
Volume of a cone

V= (π r2 h)/3

500
This is the height of a cone whose volume is 307.72 centimeters and has a radius of 7 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

Volume of a sphere

V= (4π r3)/3