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A model of a cylindrical tank is made in such a way that it is similar in shape to the actual tank to be constructed. The curved surface area of the model is #440cm^2# and that of the proposed tank is #110m^2.#
(a) Given that the height of the model is 4cm,calculate the height of the actual tank in metres.
(b) Calculate the volume of the model given that the diameter of the actual tank is 7m.
(c) Find the volume scale factor and hence calculate the volume of the actual tank in cubic metres.