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?

Respuesta :

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

Step-by-step explanation:

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

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.

[tex]v(\frac{5}{7})=\frac{4}{3}\pi (\frac{5}{7})^3=1.52652704256\approx 1.53\ cubic\ units[/tex]

We have that  v[5/7] will represent

[tex]v[5/7]=8.9759[/tex]

From the Question we are told that

v(r)=4/3 πr3

Generally the equation for  v[5/7]   is mathematically given as

[tex]v[5/7]=4/3 \pi(5/7)3[/tex]

[tex]v[5/7]=8.9759[/tex]

For more information on this visit

https://brainly.com/question/13338592?referrer=searchResults