Find the area cut out of the cylinder x^2 + z^2 = 36 by the cylinder x^2 + y^2 = 36.

This is the concept of algebra, we are required to calculate the area cut out of a cylinder represented by the function x^2+z^2=36;

The equation of a circle is given by:

(x-a) ^2 + (y-b) ^2=r^2

where;

(a, b) are the center of the circle;

r=radius of the circle

re-writing our equation we have:

x^2+z^2=36

(x-0) ^2 + (z-0) ^2=6^2

this implies that the center of the circle is (0,0) and the radius is 6 units;

Therefore the area will be given by:

Area=πr^2

Area=π*6^2

Area=36π=113.1 sq. units