Question

the volume of air inside a rubber ball with radius r can be found using the function v(r)=4/3 πr3 . What does v[5/7] represent?

Answer 1

Answer: v[5/7] represents the volume of air inside a rubber ball with radius 5/7 units, such that
`v((5)/(7))=1.53\ cubic\ units`

Explanation:

Given: The volume of air inside a rubber ball with radius r can be found using the function
`v(r)=(4)/(3)\pi r^3`.

Here volume is a dependent variable on radius (independent variable).

Therefore, the value of v[5/7] represents the volume of air inside a rubber ball with radius 5/7 units.

`v((5)/(7))=(4)/(3)\pi ((5)/(7))^3=1.52652704256\approx 1.53\ cubic\ units`