In this question all lengths are in centimetres. The volume of a cylinder with radius r and height h is πr²h and its curved surface area is 2πrh. The volume of a sphere with radius r is 4/3 πr³ and its surface area is 4πr². The diagram shows a solid object in the shape of a cylinder of base radius r and height h, with a hemisphere of radius r on top. The total surface area of the object is 300cm². [Figure 8.1]
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