Question

Calculate to surface area of the cone and calculate the volume of the cone

Answer 1

First, let's calculate the height and hypotenuse of the triangle, using the tangent and sine relation of the angle 37°:

`\begin{gathered} \tan37°=(6)/(h)\\ \\ 0.7535=(6)/(h)\\ \\ h=(6)/(0.7535)\\ \\ h=7.96\\ \\ \\ \\ \sin37°=(6)/(x)\\ \\ 0.6018=(6)/(x)\\ \\ x=(6)/(0.6018)\\ \\ x=9.97 \end{gathered}`

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: