Volume of Cones
The volume of a cone that has a radius of 5 inches and a height of 12 inches. V= 1/3πr^2h
Use 3.14 as an estimate for pi.
What is 314 inches cubed?
The volume of a cylinder whose radius is 4 feet and whose height is 3 feet. V= πr^2h
Use 3.14 as an estimate for pi.
What is 150.72 ft cubed?
Which has a larger volume: a sphere with a diameter of 9.5 inches, or a sphere with a radius of 4.5 inches?
A sphere with a diameter of 9.5 inches.
What is the height of a cylinder whose volume is 100 pi (cubic centimeters) and has a radius of 5 centimeters?
What is 4 centimeters?
What is the formula for finding the height of a cylinder?
Volume of cylinder = radius * radius * height * pi
The volume of a cone whose height is 7.8mm and whose diameter is 6.4mm.
Use 3.14 as an estimate for pi.
What is 83.60?
The volume of a cylinder whose radius is 4.8 inches and has a height of 14.7 inches.
Use 3.14 as an estimate for pi.
What is 1063.48 cubic inches?
The volume of a sphere whose diameter is 8cm.
Use 3.14 as an estimate for pi.
What is 267.95 cubic centimeters?
This is the height of a cone whose volume is 307.72 centimeters and has a radius of 7 centimeters.
Use 3.14 as an estimate for pi.
What is 6 centimeters?
What is the formula for finding the volume of a cone?
Volume of cone = radius * radius * height ÷ 3 * pi
What is the volume of a cone with a diameter of 14 feet and a height of 6 feet? Write your answer in terms of pi.
98 pi
What is the volume of a cylinder with a diameter of 14 feet and a height of 2 feet? Write your answer in terms of pi.
98 pi
The volume of a sphere with a radius of 5 feet. V=4/3πr^3
Use 3.14 as an estimate for pi.
What is 523.3 feet?
A cylinder has a radius of 12 inches and a height of 6 inches. A cone has the same volume and radius, but a different height. What could the height of the cone be?
18 inches
What is the formula for finding the volume of a sphere?
What is 4 divided by 3, multiplied by the radius, multiplied by the radius, multiplied by the radius, and then multiplied by pi?
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?
Use 3.14 as an estimate for pi.
What is 5.2 inches cubed?
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?
Use 3.14 as an estimate for pi.
What is 10.99 cubic feet?
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? Round your answer to the nearest tenth.
What is 26508.4 cubic feet?
The volume of a party hat is 840 pi (inches cubed). If the radius is 14 inches, what is the height of the party hat? Please round your answer to the nearest whole number.
65.33 inches
If you know the volume of and radius of a cylinder, how could you find the height of the cylinder?
Divide the volume by the radius squared and pi.
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?
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?
This is the radius of a sphere whose volume is 113.04 ft cubed.
Use 3.14 as an estimate for pi.
What is 3 feet?
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?
Juan went to an ice cream parlor. He decided to order a double scoop of raspberry ice cream. If the radius of the ice cream scooper was 4 inches, and the height of the ice cream cone was 8 inches, what volume of ice cream did Juan eat? Use 3.14 as an estimate for pi.
402 inches cubed