Solve using principles of zero products. 6r(7r-6)(6r-1)=0

This is beautiful, because they already gave it to you in factored form.

All you have to do is say to yourself  "This equation is a true statement
when the left side is zero, and the left side is zero whenever ANY ONE
of the factors is zero.". Then jump on it and beat it up.

First factor:
6r = 0
r = 0

Second factor:
7r - 6 = 0
7r = 6
r = 6/7

Third factor:
6r - 1 = 0
6r = 1
r = 1/6

the image of the problem was not found. as a way to  understand the problem, an example image is attached.

  let

>   depth  of the real pool

>   diameter of the real pool 

> depth  of the model pool

> diameter of the model pool 

> proportion

  we know that

p= (hr/dr)=(hm/dm)

  therefore

(hr/dr)=(hm/dm)

  i  use cross products to find a hr

hr*dm=hm*> hr=[hm*dr]/dm     

  we know

hm=2 ft

dm=8 ft

dr=27 ft

  hr=[2*27]/ > hr=6.75 ft     

the answer is

hr=6.75 ft