Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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?

Sagot :

AL2006
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 )

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