Find the total surface area of the following cone. Leave your answer in terms of m.
12 cm
5 cm
Hint: Surface Area of a Cone = url + B
Where l = slant height, and B = area of the base
S. A. = [? ]n cm?

Step-by-step explanation:

Surface Area of a Cone

Given a cone of base area B and slant height L, the surface area can be calculated with the formula:

The cone presented in the image has a circular base of radius r=5 cm, thus its base area is:

The slant height can be calculated as the hypotenuse of a right triangle with legs 5 cm and 12 cm by using Pythatgora's Theorem:

Taking square roots

L = 13 cm

The surface area is:

Operating:

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