Answer:
60 π sq. in.
Step-by-step explanation:
To calculate the lateral surface area of a cone, you could use one following two formulas, depending on which data you already have:
[tex]L = \pi * r * s\\ L = \pi * r * \sqrt{r^{2} + h^{2} }[/tex]
Since we don't have the side measurement, but we have the base radius and the height, we'll use the second formula.
[tex]L = \pi * r * \sqrt{r^{2} + h^{2} } = \pi * 6 * \sqrt[2]{6^{2} + 8^{2} } = \pi * 6 * \sqrt[2]{100 } = \pi * 6 * 10 = 60\pi[/tex]
The area of that cone is 60 π square inches.
