___ ÷ 4 + 3 = 9 Find the missing number.
2 answers:
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By Stokes' theorem,
where
is the circular boundary of the hemisphere 
in the 
-
plane. We can parameterize the boundary via the "standard" choice of polar coordinates, setting
where
. Then the line integral is
We can check this result by evaluating the equivalent surface integral. We have
and we can parameterize by
so that
where
and 
. Then,
as expected.
where
where
We can check this result by evaluating the equivalent surface integral. We have
and we can parameterize
so that
where
as expected.
Answer:
Volume of the prism = 140 cubic inches.
Step-by-step explanation:
The edge length of the cube is 1/2 inches.
The volume of the cube is given by
Now, it has been given that there are 1120 cube is completely filled in the prism. Hence, we have to the multiply the volume by 1120.
Volume of the prism = 1120 × 0.125
Volume of the prism = 140 cubic inches.