Question

the outer Radius of a metallic balls is 4cm the inner radius is 2cm find the volume of the metal enclosed there in​

Answer 1

The volume of the ball that is metal is 234.6 cm^3

Explanation:

The object in question is a hollow metallic sphere. To find the volume of metal in this object, we can calculate the total volume of the ball and then subtract out the volume of the interior empty area, leaving the volume occupied by the metal:

Total Volume of a sphere = (4/3)π
`r^(3)`, where r is the radius.

Outer radius = 4cm

Volume of the ball = (4/3)π
`(4cm)^(3)`

Total Volume = 268.1 cm^3

Volume of the inner empty sphere = (4/3)π
`r^(3)`

Inner radius = 2cm

Volume of the inner sphere = (4/3)π
`(2cm)^(3)`

Inner volume of the ball = 33.5 cm^3

The volume of the ball that is metal is (268.1 cm^3 - 33.5 cm^3) = 234.6 cm^3