Corrected Question
The volume of air inside a rubber ball with radius r can be found using the function V(r) = four-thirds pi r cubed. What does V(5/7) represent?
Answer:
(B)the volume of the rubber ball when the radius equals five-sevenths feet
Step-by-step explanation:
The Volume of a sphere of radius r can be found using the formula:
[tex]V(r)=\dfrac43 \pi r^3[/tex]
Therefore comparing the expression: [tex]V(\dfrac57)[/tex] with V(r):
[tex]Radius, r=\dfrac57[/tex]
Thus, [tex]V(\dfrac57)[/tex] is the volume of a ball of radius [tex]\dfrac57[/tex] feet.
The correct option is B.
The function represents the volume of the rubber ball.
The true statement is (b) the volume of the rubber ball when the radius = 5/17 feet
The volume is given as:
[tex]\mathbf{V(r) = \frac 43\pi r^3}[/tex]
The interpretation of [tex]\mathbf{V(\frac{5}{17}) }[/tex] is as follows:
Compare [tex]\mathbf{V(r) = \frac 43\pi r^3}[/tex] and [tex]\mathbf{V(\frac{5}{17}) }[/tex], we have:
[tex]\mathbf{r = \frac{5}{17}}[/tex]
This means that, the radius of the ball is 5/17
While V(5/17) represents the volume of the rubber ball.
Hence, the true statement is (b)
Read more about functions at:
https://brainly.com/question/1758167
