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The model of a closed cylindrical tank is made in such a way that it is similar in shape to the actual tank to be constructed. The capacity of the model is #770cm^3# while that of the proposed tank is #49.28m^3#.
a) The volume scale factor.
b) The linear scale factor and hence calculate the height of the tank in metres given that the height of the model is 5cm.
c) The area scale factor and hence calculate the total surface area of the tank in square metres given that the total surface area of the model is #528cm^2#.
d) The cost of cementing all the inside surfaces of the tank at the rate of sh. 500 per square metre.