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16π units²

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The surface area of the cone is 16π square units.

What is the surface area of the cone?

The surface area of the cone is given by;

[tex]\rm Area=\pi rl+\pi r^2\\\\Where; \ r = radius, \ l = slant \ height[/tex]

A right cone has a slant height of 6 and a radius of 2.

Substitute all the values in the formula

[tex]\rm Area=\pi rl+\pi r^2\\\\ Area= \pi \times 2 \times 6 +\pi \times 2^2\\\\Area= 12\pi +4\pi \\\\Area= 16\pi \\\\[/tex]

Hence, the surface area of the cone is 16π square units.

Learn more about the surface area here;

https://brainly.com/question/2835293

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