Question

A spherical ball just fits inside a cylindrical can,16 centimeters y'all, with a diameter of 16 centimeters. What is the expression that give you the volume

Answer 1

The correct answer is the expression of the volume of the sphere is
`(4)/(3)` ×π×
`8^(3)` and the expression of the volume of the leftover space is π×
`8^(3)`×16 -
`(4)/(3)` ×π×
`8^(3)`.

Explanation:

Height of the given cylindrical can = 16 cms.

Diameter of the given cylindrical can = 16 cms.

Now a spherical ball just fits in this given cylindrical can. Thus the diameter of the ball is equal to the diameter of the can, equal to 16 cms.

Thus the expression of the volume of ball =
`(4)/(3)` ×π×
`r^(3)` =
`(4)/(3)` ×π×
`8^(3)`

Expression of the volume of the cylindrical can is π×
`r^(3)`× h = π×
`8^(3)`×16

Expression of the leftover volume would be volume of can minus volume of the ball = π×
`8^(3)`×16 -
`(4)/(3)` ×π×
`8^(3)`.