Unit 7 v o l u m e lesson 7 v o l u m e o cylinders and composite 3D figures v o l u m e of cylinders and c o m p o s i t e 3D figures practice complete what you learn it would not count toward a great use the answers the question to answers to inches 2 inches 2 in 6 in 6 in what is the v o l u m e of the co-mposite figure

1 answer

To find the volume of the composite figure, we first need to calculate the volume of the individual components and then add them together.

1. Volume of the cylinder:
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. Given that the radius is 2 inches and the height is 6 inches, we can calculate the volume of the cylinder:
V_cylinder = π(2)^2(6)
V_cylinder = 24π cubic inches

2. Volume of the second section:
Since the second section is also a cylinder with the same dimensions, its volume will be the same as the first cylinder:
V_second_section = 24π cubic inches

3. Volume of the composite figure:
To find the total volume of the composite figure, we simply add the volumes of the two cylinders:
V_composite = V_cylinder + V_second_section
V_composite = 24π + 24π
V_composite = 48π cubic inches

Therefore, the volume of the composite figure is 48π cubic inches.