Volume of Composite Figures

The video tutorial explains how to calculate the volume of a composite figure consisting of a cylinder inside another cylinder. It begins by describing the concept and then details the process of finding the volume of both the larger and smaller cylinders using the formula πr^2h. The tutorial demonstrates subtracting the volume of the smaller cylinder from the larger one to find the volume of the composite figure. It concludes with a summary and tips for solving similar problems.

What is the first step in finding the volume of a composite figure with a cylinder inside another cylinder?

• Add the volumes of both cylinders.

• Subtract the volume of the smaller cylinder from the larger one.

• Multiply the volumes of both cylinders.

• Divide the volume of the larger cylinder by the smaller one.

In the example provided, what is the radius of the larger cylinder?

• 12

• 9

• 24

• 18

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you calculate the volume of a cylinder?

• πr^2h

• 2πrh

• πr^3

• 4/3πr^3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the result of subtracting the volume of the smaller cylinder from the larger one in the example?

• 3888π inches cubed

• 2916π inches cubed

• 4800π inches cubed

• 972π inches cubed

Tags

CCSS.5.MD.C.5C

What should you do when composite figures are stacked on top of each other?

• Subtract their volumes.

• Add their volumes.

• Multiply their volumes.

• Divide their volumes.

Tags

CCSS.5.MD.C.5C