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As the circumference of the base is 20, we have 2*pi*r = 20, where 20 is the radius of the base.
2*pi*r = 20
=> r = 10/pi
The area of the base is pi*r^2 = pi* (10/pi)^2
The volume of the cylinder is equal to area of the base* height
=> 100/pi * 12
The required volume of the cylinder is 1200/pi
Given the height of a cylinder is h= 12
Also, given the circumference of the base is c=20.
We need to find the volume.
We know that the volume of the cylinder is given by:
V = r^2 * pi * h such that r is the radius of the base and h is the height.
==> We will determine the value of r from the circumference.
We know that:
c= 2*pi*r = 20
==> r= 20/2pi = 3.18
Now we will substitute into V.
==> V = r^2 * pi * h = (3.18)^2 * pi * 12 = 381.97
Then the volume of the cylinder is 381.97 cubic units.
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