Question

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?

Answer 1

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 )

Answer 2

Height =  ( 4V ) / ( pi d² ) is the answer