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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?

 Jun 25, 2021
 #1
avatar+130466 
+2

V = pi (d/2)^2  *  h

 

V =  pi  (d^2  / 4)   *  h

 

h =  4V  /  ( pi  * d^2)       (meters)

 

cool cool cool

 Jun 25, 2021
 #2
avatar+175 
+2

this is how you find the volume of a cylinder:
V=πr2h

in our case, the thing is using the diameter instead of r, which is no big deal ; thus you can write it as :  π(12d)2h=V

we want to solve for h:

π4d2h=V
get rid of the fraction form:
πhd2=4V
take pi d^2 to the other side:
h=4Vπd2
and thats it!

 Jun 25, 2021

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