How do you find the slant height of a cone using the surface area and radius?
To find the slant height of a cone using the surface area and radius, you can use the formula:
Surface Area of a Cone = πr(r + l)
Where:
- r is the radius of the base of the cone
- l is the slant height of the cone
First, determine the surface area of the cone using the given information. Then, plug in the radius and the surface area into the formula and solve for the slant height.
Here is the step-by-step process:
1. Identify the given values: radius (r) and surface area (SA).
2. Use the formula for the surface area of a cone: SA = πr(r + l) and plug in the given values.
3. Solve the equation for l (slant height).
4. The result will be the slant height of the cone.