1 Answer

RQDQ · Answer 1 · 2021-10-12T14:28:55+0000

Answer:

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

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

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