Volume and Radius of Cylinders

Mr. Mahmoud guides students through calculating the volume of cylinders using the formula V = πr²h. The lesson covers solving problems with given dimensions, comparing volumes of different cylinders, and finding the radius from a given volume. Students are encouraged to apply their knowledge of rectangular prisms to understand cylinder volumes.

What is the main goal of the lesson?

• To find the volume of a sphere

• To use knowledge of rectangular prisms to find the volume of a cylinder

• To calculate the surface area of a cylinder

• To learn about different types of cylinders

How do you find the radius of a cylinder if you know the circumference?

• Divide the circumference by 2π

• Subtract the height from the circumference

• Divide the circumference by the diameter

• Multiply the circumference by pi

What is the formula for the volume of a cylinder?

• V = πr²h

• V = 2πrh

• V = πr²

• V = 2πr²h

If a cylinder has a radius of 5 cm and a height of 2.5 cm, what is its volume using π = 3.14?

• 100 cubic centimeters

• 196.25 cubic centimeters

• 150 cubic centimeters

• 62.5 cubic centimeters

Which cylinder has a greater volume: Cylinder A with a face area of 6π square feet and height of 10 feet, or Cylinder B with a circumference of 6π feet and height of 6 feet?

• Cannot be determined

• Both have the same volume

• Cylinder B

• Cylinder A

What is the radius of a cylinder if its volume is 225π cubic inches and its height is 1 inch?

• 5 inches

• 20 inches

• 10 inches

• 15 inches