Solve this equation -4(X-26)=-200
2 answers:
You might be interested in
Because I've gone ahead with trying to parameterize directly and learned the hard way that the resulting integral is large and annoying to work with, I'll propose a less direct approach.
Rather than compute the surface integral over straight away, let's close off the hemisphere with the disk
of radius 9 centered at the origin and coincident with the plane
. Then by the divergence theorem, since the region
is closed, we have
where is the interior of
.
has divergence
so the flux over the closed region is
The total flux over the closed surface is equal to the flux over its component surfaces, so we have
Parameterize by
with and
. Take the normal vector to
to be
Then the flux of across
is
The amount of paint is the volume of paint needed.
The amount of paint needed is 0.065312 cubic meters
<h3>How to determine the amount of paint needed</h3>The volume of a hemisphere is:
Differentiate the above equation
The above equation represents the estimate of the amount of paint needed.
Where:
- r represents the radius (r = 52/2 m)
- r' represents the thickness (r' = 0.04 cm)
So, we have:
Express cm as m
Hence, the amount of paint needed is 0.065312 cubic meters
Read more about volumes at: