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
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.