Basics
Cylinders
Cones
Challenge
100
Is this the radius or the diameter?
Radius
100
What is the volume of the cylinder in cubic inches? Round to the nearest tenth.
282.7 in3
100
Find the volume of the cone. Express your answer in terms of π. Round to the nearest tenth if necessary
10.7 π in3
100
An aquarium at the zoo is shaped like a cylinder. It has a height of 4 feet and a base radius of 2.5 feet. The aquarium is being filled with water at a rate of 12 gallons per minute. If one cubic foot is about 7.5 gallons, how long will it take the aquarium to fill? Round to the nearest whole minute.
49 minutes
200
What is the radius?
9 in.
200
What is the volume of the cylinder in cubic inches? Round to the nearest tenth.
603.2 ft3
200
Find the volume of the cone. Express your answer in terms of π. Round to the nearest tenth if necessary
48 π ft3
200
A cylindrical beaker with a base radius of 3 inches and a height of 10 inches weighs 3.5 ounces when empty. The beaker is filled with water to one inch from the top. If one cubic inch of water weighs 0.6 ounce, how many ounces does the beaker weigh, including the weight of the cylindrical beaker? Explain how you found your answer. Round to the nearest tenth.
156.2 ounces
300
What is the formula of the Area of the circle?
pi*r^2
300
A gas can is shaped like a cylinder. It has a height of 14 inches and a base diameter of 8 inches. What is the volume of the gas can? Round to the nearest tenth.
703.7 in3
300
Santiago bought a bag of roasted almonds at a carnival. The bag was in the shape of a cone with a radius of 5 centimeters and a height of 18 centimeters. What was the volume of the bag? Round to the nearest tenth.
471.2 cm3
300
Andrew compares a cone-shaped container and a cylinder-shaped container by placing the cone inside the cylinder. He notices that each container has the same base diameter of 20 centimeters and the same height of 48 centimeters. what is the volume of the empty space in the cylinder? round your answer to the nearest tenth.
10053.1 cm3
400
What is the volume formula for a cylinder?
v=pi*r^2*h
400
A battery is shaped like a cylinder. It has a height of 5.5 inches and a base radius of 2.2 inches. What is the volume of the battery? Round to the nearest tenth.
83.6 in3
400
An orange traffic cone has a diameter of 14 inches and a height of 28 inches. What is the volume of the traffic cone? Round to the nearest tenth.
1436.8 in3
400
Juniata plans to fill the cup with a fermented tea that costs $0.05 per milliliter. If 1 cubic centimeter equals 1 milliliter, about how much more will the cylindrical cup cost than the conical cup to completely fill with tea? Round to the nearest cent.
$0.75
500
What is the volume formula for a cone?
v=1/3*pi*r^2*h
500
A steel drum is shaped like a cylinder. It has a height of 3 feet and a base diameter of 2 feet. What is the volume of the steel drum in cubic feet? Round to the nearest tenth.
9.4 ft3
500
A cone-shaped mold is filled with cake batter. The height of the mold is 15 inches, and the base diameter is 5.5 inches. What is the volume of the mold? Round to the nearest tenth.
118.8 in3
500
Find the volume of the following composite shape.
HINT: Use the Pythagorean Theorem to find the height of the cone.
6170.1 m3