Composite Solids Worksheet
Calculate surface area and volume of composite solids, combining cylinders, cones, spheres, and rectangular prisms.
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Composite Solids Worksheet
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Read each question carefully and show all your work. Use π ≈ 3.14 where necessary. Round your answers to two decimal places.
1. A grain silo is shaped like a cylinder with a hemispherical top. The cylinder has a height of 15 meters and a radius of 4 meters. Calculate the total volume of the silo.
2. A pharmaceutical capsule is formed by a cylinder with two hemispherical ends. The total length of the capsule is 18 mm, and the diameter of the cylinder is 6 mm. Find the total surface area of the capsule.
3. A composite solid is formed by combining two or more solids.
4. To find the volume of a composite solid, we typically the volumes of its individual components.
5. When calculating the surface area of a composite solid, we must account for the areas where the solids .
6. The surface area of a composite solid is always the sum of the surface areas of its individual components.
True
False
7. A solid formed by placing a cone on top of a cylinder is an example of a composite solid.
True
False
8. Which of the following is NOT a common component used to form composite solids?
Pyramid
Cube
Line Segment
Cylinder
9. A small house has the shape of a rectangular prism with a triangular prism (roof) on top. The base of the house is 8 meters by 6 meters, and the height of the rectangular prism is 4 meters. The triangular roof has a height of 3 meters. Calculate the total volume of the house.