Answer:
60pi = ⅓ × pi × r² × h
180 = r²h
Assuming r and h are whole numbers,
r = 3 m , h = 180/3² = 20 m
Diameter = 6 m
Or,
r = 6 m, h = 180/6² = 5 m
Diameter = 12 m
Domain is the numbers you can use
range is the result of inputing the domain
an interesting fact is that the inverse of a function switches the domain and range
basically
the domain of f(x) becomes the range of f^-1(x)
the range of f(x) becomes the domain of f^-1(x)
so just find the domain and range of f(x)

there are no restrictions
all real numbers can be used
all real numbers can result
so the answer is domain and range for both is all real numbers
D is answer
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




Step-by-step explanation:
s1 = 300
s2 = s1 × 2 = 300 × 2 = 600
s3 = s2 × 2 = s1 × 2² = 1200
sn = sn-1 × 2 = s1 × 2^(n-1)
s7 = 300 × 2⁶ = 300 × 64 = 19,200
The answer is A because of base times height