Grade 9 Math: Composite Solids
Explore composite solids, calculate their surface areas and volumes, and apply formulas to real-world scenarios.
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Grade 9 Math: Composite Solids
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Identify the basic geometric solids that make up the composite solid shown below:
2. To find the volume of a composite solid, you typically the volumes of its individual component solids.
3. A composite solid made of a cylinder and a hemisphere has a total volume equal to the sum of the volume of the cylinder and .
4. A composite solid is formed by a cylinder with a radius of 3 cm and a height of 10 cm, topped by a hemisphere of the same radius. Calculate the total volume of this composite solid. (Use π ≈ 3.14)
5. When calculating the surface area of a composite solid, which of the following is generally true?
You add the surface areas of all individual component solids.
You subtract the areas of overlapping surfaces from the sum of individual surface areas.
You only consider the surface area of the largest component solid.
Surface area is not applicable to composite solids.
6. A composite solid is always formed by combining two or more different types of geometric solids.
True
False
7. A water tank is shaped like a cylinder with a cone on top. The cylinder has a diameter of 6 meters and a height of 8 meters. The cone has the same diameter and a slant height of 5 meters. Calculate the total volume of the water tank. (Use π ≈ 3.14)