Cylinders and cones quick check unit 7 lesson 2
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Nevertheless, I can offer some basic information about cylinders and cones that might help you with your unit:
**Cylinders:**
- A cylinder has two parallel circular bases of equal size.
- It has one curved surface connecting the two bases.
- The volume of a cylinder (V) is calculated using the formula: V = πr²h, where r is the radius of the base, and h is the height of the cylinder.
- The surface area of a cylinder can be found using the formula: SA = 2πrh + 2πr². Here, 2πrh accounts for the area of the curved surface, and 2πr² accounts for the total area of the two bases.
**Cones:**
- A cone has a circular base and a pointed top or vertex.
- It has one curved surface that tapers from the base to the vertex.
- The volume of a cone (V) is calculated using the formula: V = (1/3)πr²h, where r is the radius of the base, and h is the height of the cone. This volume is exactly one third of the volume of a cylinder with the same base and height.
- The surface area of a cone is found using the formula: SA = πr(l + r), where l is the slant height of the cone. The slant height can be found using the Pythagorean Theorem if you know the radius and the perpendicular height of the cone: l = √(r² + h²).
Remember, when solving mathematical problems:
1. Make sure you understand what is being asked.
2. Identify given information and figure out which formulas to use.
3. Substitute the known values into the formulas carefully and solve for the unknown.
4. Check your work to ensure accuracy.
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