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Surface Area of a Right Circular Cone

Given a cone of radius R and slant height L, the surface area is calculated as follows:

[tex]A=\pi R(R+L)[/tex]

We are given the following data:

R = 10 cm

L = 12 cm

Computing the surface area:

[tex]A=\pi *10\text{ cm}(10\text{ cm}+12\text{ cm})[/tex]

Operating:

[tex]\begin{gathered} A=\pi *10\text{ cm}(22\text{ cm}) \\ A=220\pi\text{ }cm^2 \end{gathered}[/tex]

This is the exact value. The approximate value can be obtained by substituting pi = 3.14:

A ≈ 690.8 square cm

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