Answer:
Step-by-step explanation:
The volume of a cone of height h and circular base of radius r, is [tex] V = \frac{\pi r^2 h}{3}[/tex]. In this case we have that [tex]V=72\pi[/tex].Then, we have that
[tex]72\pi = \frac{\pi r^2 h}{3}[/tex]
multiplying by 3 on both sides and dividing by [tex]\pi[/tex] we have that
[tex]216 = r^2\cdot h[/tex]
Suppose that we know the value of r, then we can find the value of h by solving h, that is
[tex] h = \frac{216}{r^2}[/tex].
So, by choosing any positive value of r, we can find the value for h. Note that if r=6, then [tex]h= \frac{216}{6^2} = 6[/tex]. This means that the amount of credit is infinite :)
