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.
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
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=π⋅r2⋅h|h=L−r=π⋅r2⋅(L−r)Vhemisphere=23⋅π⋅r3
Vtank=Vcylinder+Vhemisphere=π⋅r2⋅(L−r)+23⋅π⋅r3=π⋅r2⋅L−π⋅r3+23⋅π⋅r3=π⋅r2⋅L−33⋅π⋅r3+23⋅π⋅r3=π⋅r2⋅L−π⋅r3⋅(33−23)=π⋅r2⋅L−π⋅r3⋅13=π⋅r2⋅(L−r⋅13)=π⋅r2⋅(L−r3)|r=3.22 m=1.6 mL=16.4 mVtank=π⋅(1.6 m)2⋅(16.4 m−1.6 m3)Vtank=π⋅1.62 m2⋅(16.4−1.63) mVtank=π⋅1.62⋅(16.4−1.63) m3Vtank=π⋅1.62⋅(16.4−0.53333333333) m3Vtank=π⋅1.62⋅15.8666666667 m3Vtank=π⋅2.56⋅15.8666666667 m3Vtank=π⋅40.6186666667 m3Vtank=127.607304799 m3