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a tank in the form of a cylinder has one hemispherical and one flat end. given that the diameter of the cylinder is 3.2 m and the overall length of the tank is 16.4 m, find the volume of the tank.

 Mar 4, 2016
 #1
avatar+131 
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You would probably have to make a few assumptions to solve this but

 

Volume of a cylinder

V= pi*r^2*h

 

Volume of a hemisphere

V = (2/3)*pi*r

 

radius of cylinder/hemisphere = 1.6m

height of cylinder = 16.4-1.6=14.8m

 

Total volume = pi*1.6^2*14.8 + (2/3)*pi*1.6

 

Total volume = 122.37m^3

 Mar 4, 2016
 #2
avatar+26397 
+1

a tank in the form of a cylinder has one hemispherical and one flat end. given that the diameter of the cylinder is 3.2 m and the overall length of the tank is 16.4 m, find the volume of the tank.

 

Vtank = volume of the tank.

 

L = length of the tank

r = radius of cylinder and hemisphere

h = length of the cylinder

 

 Vcylinder=πr2h|h=Lr=πr2(Lr)Vhemisphere=23πr3 

 

Vtank=Vcylinder+Vhemisphere=πr2(Lr)+23πr3=πr2Lπr3+23πr3=πr2L33πr3+23πr3=πr2Lπr3(3323)=πr2Lπr313=πr2(Lr13)=πr2(Lr3)|r=3.22 m=1.6 mL=16.4 mVtank=π(1.6 m)2(16.4 m1.6 m3)Vtank=π1.62 m2(16.41.63) mVtank=π1.62(16.41.63) m3Vtank=π1.62(16.40.53333333333) m3Vtank=π1.6215.8666666667  m3Vtank=π2.5615.8666666667  m3Vtank=π40.6186666667  m3Vtank=127.607304799  m3

 

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 Mar 4, 2016

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