Question

Please help with this and explain how to do it, I'll give 15 points

Answer 1

Option (4).

Explanation:

Outer diameter of the hollow metallic ball = 10 centimeters

Outer radius of this ball =
`(10)/(2)` = 5 cm

Volume of the outer ball
`V_(1)` =
`(4)/(3)\pi (r)^3`

=
`(4)/(3)\pi (5)^3`

Inner radius of the hollow metallic ball = (5 - 1) = 4 cm

Volume of the inner hollow ball
`V_(2)` =
`(4)/(3)\pi (4)^3`

Volume of the metal used in the metallic ball =
`V_(1)-V_(2)`

=
`(4)/(3)\pi (5)^3-(4)/(3)\pi (4)^(3)`

=
`(4)/(3)\pi [(5)^3-(4)^3]`

Therefore, expression given in option (4) will be used to measure the volume of the hollow metallic ball.