1. Decomposable Solids

2. What are decomposable solids?
Many different solids molded together:
Hemi sphere
Cone

3. How would you calculate the surface area of them?
Break the shape into its individual shapes and calculate their area separately.

4. Area of hemisphere 1) Formula 4∏ 𝑟 2 ÷2 2) Plug in your numbers:
Calculations
Hemi spheres
1) Formula
4∏ 𝑟 2 ÷2
2) Plug in your numbers:
4∏ 4 2 ÷2
3) Solve: ÷2
= cm^2 4

5. Area of the cone: 1) Formula: ∏ 𝑟 2 + ∏r(slant height)
Calculations
Cone
1) Formula:
∏ 𝑟 2 + ∏r(slant height)
2) Plug in numbers:
∏ ∏(3)(5)
3) Solve:
75.38 cm^2 5 3

6. Total surface Area
75.38
100.48
175.86

7. Example
Find the surface area of the following solid: 3 3 4 5