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Just to make it easy for you, I am making this statements.
Simply remember the area of the circle = pi*r^2.
Multiply this by another radius quantity so it becomes = pi*r^3.
Now just multiply with 4/3 to get the volume of the sphere= 4/2*pi*r^3.
To get hemisphere volume just divide by two (Hemisphere = half the sphere) so Hemisphere volume=2/3*pi*r^3 ( if you like to know the exact derivation of this quantity you can go through integral calculus).
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