You can put this solution on YOUR website! Surface Area of Cone:
where r is radius and l is slant height.
To find slant height, imagine a right triangle formed by points A,B,C where A is top of cone, B is point on outside of base and C is center of base.
The hypotenuse of this triangle is the slant height.
The legs are the vertical height and the radius.
Use Pythagorean theorem
Take square root of both sides
Now substitute into surface area equation:
SA =
SA =
SA =
SA =
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For Lateral surface area, just take away the area of the base.
Area of base of cone is a circle:
r = 5
Lateral SA =
Lateral SA =
