The volume of the cylinder outside the sphere is 2093.33 cm³.
The volume of a cylinder with a radius of 'r' units and height of 'h' units is πr²h cubic units.
The volume of a sphere with a radius of 'r' units is (4/3)πr³ cubic units.
Given, a sphere sits inside a cylinder and touches all sides.
Therefore, the base diameter of the cylinder is equal to the diameter of the sphere.
The height of the cylinder is equal to the diameter of the sphere.
Now, the radius of the sphere is(r) = 10 cm.
Now, the volume of the sphere is
= (4/3)πr³ cubic units
= (4/3) × 3.14 × 10³ cm³
= 4186.67 cm³
The diameter of the sphere(d) = 2r = 20 cm.
The height of the cylinder(H) = 20 cm.
Therefore, the base diameter of the cylinder(D) = 20 cm.
The base radius of the cylinder(R) = 20/2 cm = 10 cm.
Now, the volume of the cylinder
= πR²H cubic units
= 3.14 × (10)² × 20 cm³
= 6280 cm³
Therefore, the volume of the cylinder outside the sphere is
= (6280 - 4186.67) cm³
= 2093.33 cm³
Learn more about the volume of a sphere and cylinder here: https://brainly.com/question/1537493
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