Question

HELP WITH THIS QUESTION, ASAP!

Answer 1

First choice:

`\large\boxed{\large\boxed{h=(3V)/(784\pi);21cm}}`

Step-by-step explanation:

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

`V=(1)/(3) (28^2)\pi h`

2. Identify the inverse of this function

Solve for h:

`3V=(28)^2\pi h\\ \\ (3V)/((28)^2\pi)=h\\\\h=(3V)/((28)^2\pi)\\\\h=(3V)/(784\pi)`

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

Subsititue V with 5488π

`h=(3(5488\pi cm^3))/(784\pi cm^2)\\\\h=21cm`