What is the surface area of the cone? Express your answer in terms of π.

The surface area is about 408.47

Step-by-step explanation:

We must use Pythagorean Theorem in order to find the the height of the cone in order to use the surface area of a cone formula. The formula that you use would be A=πr(r+h2+r2). You already have the radius which is 5.

Pythagorean Theorem

You have two leg measurements of the triangle, one of which is the hypotenuse. The hypotenuse is 21.

Subtract 25

Take the square root of 416 and you get about 20.4. So the height of the cone would be about 20.4.

πr(r+h2+r2) > π(5)(5+(20.4)2+(5)2) and you get about 408.47

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