First, let's calculate the height and hypotenuse of the triangle, using the tangent and sine relation of the angle 37°:
[tex]\begin{gathered} \tan37°=\frac{6}{h}\\ \\ 0.7535=\frac{6}{h}\\ \\ h=\frac{6}{0.7535}\\ \\ h=7.96\\ \\ \\ \\ \sin37°=\frac{6}{x}\\ \\ 0.6018=\frac{6}{x}\\ \\ x=\frac{6}{0.6018}\\ \\ x=9.97 \end{gathered}[/tex]
After revolving the triangle, the hypotenuse will become the slant height of the cone.
To calculate the volume of the cone, we can use the formula below:
And to calculate the surface area, we can use the formula below:
