Cones
Cylinders
Spheres
Remember These?
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= 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
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. 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 radius is 8cm.

What is 2143.6 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 radius is 3.2 mm

What is 83.60?

300

Emma Stone decides to start saving water by collecting rain in a barrel. Emma Stone buys a barrel with a 1 foot radius and it is 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 surface area of a sphere.
What is 4πr^2?
400

You visit two ice cream shops, and 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, 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

Michael Phelps runs an ice cream parlor in Hull, MA. He orders ice cream in cylindrical cartons that are 5 centimeters in radius and 15 centimeters tall. Using a scoop that is 2 centimeters in radius, how many (perfectly spherical) scoops will Michael Phelps get out of each carton?

What is 35 scoops?

400
The population of Glendale is about 4.8x10^3. The population of Oakwood is about 7.2x10^4. About how many times larger is Oakwood than Glendale?
What is 15 times larger?
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 air and the radius has decreased by 0.5cm each day. What is the ratio of the current volume of the balloon to the volume of the balloon 4 days ago?
What is 8/27?
500

This is the height of a cone whose volume is 307.72 centimeters and has a radius of 7 centimeters. Is the height 3cm, 6cm, or 12cm?

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
Planet earth has a radius of approximately 3,959 miles. Earth's atmosphere extends another 62 miles beyond earth's surface. What is the total volume of earth's atmosphere?
What is 12,397,549,720 cubic miles?
M
e
n
u