Answer:
≈126
Part 1: Discussing the equations
When dealing with surface area, varying by shape, it can get quite complex. It would help a lot if we know how to do this problem first before jumping right in. First, we go over the dimensions, given values, and then the formula.
- Height(h)--6 in.
- Radius to base(r)--4 in.
Those(↑) are the dimensions we know of so far, but the question is, how do you find the surface area of a cone? It's simple, all you have to do is,
[tex]A = \pi rl+\pi r^2\\where~l = \sqrt{r^2+h^2}\\\\A = \pi r(r+\sqrt{h^2+r^2} )[/tex]
Part 2: Solving the problem
Now that we have gone over the terms we must use, what we know, and more, we are ready to solve the problem!
[tex]A = \pi r(r+\sqrt{h^2+r^2} )[/tex]
Convert most of the problem by separating the signs close to each other with multiplication signs, indicating multiplication.
[tex]A = \pi *r*(r+\sqrt{h^2+r^2} ) = 140.8[/tex]
140.8 ≈ Option C) 126
