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GEOMETRIC BODIES: Exercise 2
Geometric Bodies
Geometric bodies are three-dimensional figures that occupy space in the three-dimensional plane. Some examples are:
1. Sphere
2. Cone
3. Cylinder
4. Pyramid
5. Prism
6. Cube
Sphere Volume
The volume of a sphere (V) is calculated with the formula:
V = (4/3)πr³
where:
1. π (pi) is approximately 3.14159
2. r is the radius of the sphere
Cone Volume
The volume of a cone (V) is calculated with the formula:
V = (1/3)πr²h
where:
1. π (pi) is approximately 3.14159
2. r is the radius of the base of the cone
3. h is the height of the cone
Additional formulas
1. *Surface area of the sphere*: A = 4πr²
2. *Surface area of the cone*: A = πr² + πr√(r² + h²)
3. *Length of the cone generatrix*: l = √(r² + h²)
Applications
1. Architecture
2. Engineering
3. Graphic design
4. Mathematics
5. Physics
6. Civil engineering
7. Industrial design
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