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A satellite launch rocket has a cylindrical fuel tank. The fuel tank can hold V cubic meters of fuel. If the tank measures d meters across, what is the height of the tank in meters?

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AL2006id
The volume of a cylinder with flat ends is (pi) x (radius squared) x (length) .

Radius of the tank = 1/2 diameter = d/2.

Volume = (pi) x (d/2)² x (height)

Height = ( V ) / ( pi  x  d²/4 )

Height =  ( 4V ) / ( pi d² )
Lhmarianateixeiraid

In this exercise we have to use the volume knowledge to calculate the size of the tank, like this:

[tex]H= ( 4V ) / ( \pi d^2)[/tex]

Then, recalling the formula for the volume of the cylinder, we find that:

[tex]volume= (\pi) * (radius \ squared) * (length)[/tex]

And we know some information like:

  • Radius of the tank = 1/2
  • diameter = d/2

In this way we find that:

[tex]Volume = (\pi) * (d/2)^2 * (height)\\Height = ( V ) / ( \pi * d^2/4 )\\Height = ( 4V ) / ( \pi d^2)[/tex]

See more about volume at  brainly.com/question/1578538