Understanding the Volume of a Cylinder

This video tutorial from MooMoo Math explains how to find the volume of a cylinder. It begins with an introduction to the volume formula, V = πr²h, where πr² is the area of the base and h is the height. The tutorial then breaks down the formula, explaining how to calculate the area of the base using the radius, which is half of the diameter. Finally, it demonstrates how to multiply the base area by the height to find the volume, emphasizing that volume is measured in cubic units.

What is the formula for the volume of a cylinder?

• V = πr²h

• V = 2πrh

• V = 2πr²h

• V = πr²

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

In the formula V = πr²h, what does πr² represent?

• The height of the cylinder

• The volume of the cylinder

• The circumference of the base

• The area of the base

Tags

CCSS.7.G.B.4

If the diameter of a circle is 6, what is the radius?

• 6

• 3

• 9

• 12

Tags

CCSS.7.G.B.4

How do you calculate the area of a circle with a radius of 3?

• 12π

• 3π

• 6π

• 9π

What is the height of the cylinder in the example provided?

• 3

• 8

• 9

• 6

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the final volume of the cylinder in the example?

• 36π

• 81π

• 54π

• 72π

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

In what units is the volume of a cylinder expressed?

• Square units

• Cubic units

• Linear units

• None of the above

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4