Exploring the Volume of a Cylinder

What is the formula for the volume of a cylinder?

• Volume = 2 x pi x radius x height

• Volume = pi x diameter squared

• Volume = pi x radius squared x height

• Volume = radius x height

If the radius of a cylinder is 3 meters and the height is 6 meters, what is the volume?

• Approximately 169.6 cubic meters

• 56.52 cubic meters

• 339.2 cubic meters

• 84.8 cubic meters

How do you find the height of a cylinder if you know its volume and the area of its base?

• Subtract the base area from the volume

• Divide the volume by the base area

• Multiply the volume by the base area

• Add the volume to the base area

What is the height of a cylinder if its volume is 314 cubic inches and the area of its base is 78.5 square inches?

• 6 inches

• 8 inches

• 4 inches

• 2 inches

If the diameter of a cylinder is given, how do you find the radius?

• Subtract 2 from the diameter

• Add 2 to the diameter

• Multiply the diameter by 2

• Divide the diameter by 2

In real-world applications, what could the volume formula of a cylinder be used for?

• Calculating the height of a building

• Determining the amount of paint needed for a wall

• Finding out how much water a container can hold

• Measuring the speed of a car

If a water cooler bottle has a diameter of 1 foot, how many gallons does it contain?

• 15 gallons

• 5 gallons

• 10 gallons

• 7.5 gallons

What is the volume of a cylinder with a radius of 7.5 meters and a height of 5 meters before conversion?

• 220.75 cubic meters

• 1766 cubic meters

• 441.5 cubic meters

• 883 cubic meters

How many gallons of water can a water tower hold if its volume is 883 cubic meters?

• Approximately 10 gallons

• Approximately 233,145 gallons

• Approximately 1,766 gallons

• Approximately 7,500 gallons

What is the correct conversion factor to use when converting cubic feet to gallons?

• 1 cubic foot = 10 gallons

• 1 cubic foot = 7.5 gallons

• 1 cubic foot = 2.5 gallons

• 1 cubic foot = 5 gallons