Composite Solids Worksheet

Composite Solids Worksheet

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.

7. A solid formed by placing a cone on top of a cylinder is an example of a composite solid.

8. Which of the following is NOT a common component used to form composite solids?

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.