The maximum volume of a ball that could pass through the interior of the brass ring is 179.50 cm³ .
The cross-sectional area is the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder - is sliced perpendicular to some specified axis at a point. For example, the cross-section of a cylinder - when sliced parallel to its base - is a circle.
The volume of sphere is the capacity it has. It is the space occupied by the sphere. The volume of sphere is measured in cubic units, such as m3, cm3, in3, etc. The shape of the sphere is round and three-dimensional. It has three axes as x-axis, y-axis and z-axis which defines its shape.
Formula of volume of sphere :
volume of sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]
According to the question
Thickness of cross section is cut from a brass cylinder = 2cm
Radius of the cross section = 5.5 cm
Radius to the inner portion = Radius to outer portion - thickness
= 5.5 - 2
= 3.5 cm
Now, The maximum volume of ball that could pass through the interior of the brass ring
as ball is a sphere
so,
volume of sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]
volume of ball = [tex]\frac{4}{3} \pi (3.5)^{3}[/tex]
= [tex]\frac{4}{3} * 3.14 * 42.875[/tex]
= 179.50 cm³
Hence, the maximum volume of a ball that could pass through the interior of the brass ring is 179.50 cm³ .
To know more about volume of sphere and cross section here:
https://brainly.com/question/3423717
#SPJ2
