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 = 24Ď€ 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 = 24Ď€ 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 = 24Ď€ + 24Ď€
V_composite = 48Ď€ cubic inches
Therefore, the volume of the composite figure is 48Ď€ cubic inches.