Answer:
35,691
Step-by-step explanation:
First step, look at the diagram and you see that you have a sphere and a cone.
The total surface area of a sphere is
[tex]A = 4\pi r^{2} \\A = 4\pi 39^{2} \\A = 19,113[/tex]
Since you only have half of a sphere, the surface area is 9,556.5
The surface area of the cone is
[tex]A = pi r(r+\sqrt{h^{2}+r^{2} }) A = \pi39(39+\sqrt{42^{2} +39^{2} } \\A=11,800[/tex]
You don't need the bottom of the cone however as it is connected to the half sphere.
So substract the area of a circle with a radius of 39 from the product of 19,113 + 11,800
The area of the circle is 4,778
