Question

HELP WITH THIS QUESTION, ASAP!

Answer 1

Answer:

First choice:

         $\large\boxed{\large\boxed{h=\frac{3V}{784\pi};21cm}}$

Explanation:

1. Formula for the volume of a cone (given)

      $V=\frac{1}{3} (28^2)\pi h$

2. Identify the inverse of this function

Solve for h:

       $3V=(28)^2\pi h\\ \\ \frac{3V}{(28)^2\pi}=h\\\\h=\frac{3V}{(28)^2\pi}\\\\h=\frac{3V}{784\pi}$

3. Find the height of the cone, if its volume is 5488πcm³

Subsititue V with 5488π

          $h=\frac{3(5488\pi cm^3)}{784\pi cm^2}\\\\h=21cm$