Answer:
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Step-by-step explanation:
You can parameterize using spherical coordinates by
with and .
Take the normal vector to to be
(I use to avoid negative signs. The orientation of the normal vector doesn't matter for a scalar surface integral; you could just as easily use .)
Then
and the integral of over is
We can see that
There are four triangle on the surface
and five squares
For finding surface areas , we will find area of each surface and then add them
Calculation of area of triangle:
We are given
base=b=8
height=h=10
now, we can use area formula
Calculation of area of square:
base=width=8
There are four triangle and five squares on the surface
so, we can find surface area
SA=4* triangle + 5*square
so, surface area is .............Answer
Use the same to solve the rest of the problems. Hope this helps:)