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The base area of a cylindrical Container is #72cm^2#. The Container is enlarged so that the new container is similar to the old container and has a base area of #128 cm^2#.
a) Find in its simplest terms the area scale factor of the enlargement
i. the linear scale factor
ii. the volume scale factor.
b) The radius of the new container is 20 cm. Determine the radius of the old container.
c) Given that the capacity of the old container is 810cm3, calculate the capacity of the new container in litres.