Answer:
First choice:
[tex]\large\boxed{\large\boxed{h=\frac{3V}{784\pi};21cm}}[/tex]
Explanation:
1. Formula for the volume of a cone (given)
[tex]V=\frac{1}{3} (28^2)\pi h[/tex]
2. Identify the inverse of this function
Solve for h:
[tex]3V=(28)^2\pi h\\ \\ \frac{3V}{(28)^2\pi}=h\\\\h=\frac{3V}{(28)^2\pi}\\\\h=\frac{3V}{784\pi}[/tex]
3. Find the height of the cone, if its volume is 5488πcm³
Subsititue V with 5488π
[tex]h=\frac{3(5488\pi cm^3)}{784\pi cm^2}\\\\h=21cm[/tex]
