Calculate the total surface area of a cone with a base radius of 7m and a height of 14m.

univerkov | February 27, 2021 | education

The total surface of the cone is calculated as the sum of the base area and the lateral area.
Then for the lateral area we need the apothem of the cone, which is equal to: √7 * 7 + 14 * 14 = 7√5.
Then the area of the base is equal to: n * 7 ^ 2 = 49n m2.
And the side area is equal to: n * 7 * 7√5 = 49p√5 m2.
Therefore, the total surface of the cone is 49n√5 + 49n m2.

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