To find the volume of the composite figure, we need to break it down into its separate parts. The figure consists of a cylinder on top of a rectangular prism.
1. Calculate the volume of the cylinder:
- The radius of the cylinder is 3 units.
- The height of the cylinder is 6 units.
Volume of a cylinder = πr^2h
Volume = π(3^2)(6)
Volume = π(9)(6)
Volume = 54π in^3
2. Calculate the volume of the rectangular prism:
- The length of the rectangular prism is 6 units.
- The width of the rectangular prism is 6 units.
- The height of the rectangular prism is 6 units.
Volume of a rectangular prism = lwh
Volume = 6(6)(6)
Volume = 216 in^3
3. Add the volumes of the cylinder and the rectangular prism together:
Volume of composite figure = Volume of cylinder + Volume of rectangular prism
Volume = 54π + 216
Volume ≈ 373.97 in^3
Therefore, the volume of the composite figure is approximately 373.97 cubic inches.
Volume of Cylinders and Composite 3D Figures Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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What is the volume of the composite figure?
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in.3
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