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2 marksSurface Area of Solids

CSEC Mathematics · January 2006 · Paper 2 · Question 5(a)(ii)

The curved surface area of a cylinder = 2πrh, where r is the radius and h is the height, and the surface area of a sphere is 4πr^2. The diagram shows a solid glass paperweight which consists of a hemisphere mounted on a cylinder. The radius of the hemisphere is 3 cm, the radius of the cylinder is 3 cm and its height is 8 cm. Calculate, using π = 3.14.

Calculate the surface area of the hemisphere.

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Other parts of this question

  1. 5(a)(i)Calculate the curved surface area of the cylinder.[2 marks]
  2. 5(a)(iii)Calculate the TOTAL surface area of the solid paperweight.[2 marks]
  3. 5(b)Using a ruler, a pencil, and a pair of compasses, construct the parallelogram KLMN, in which KL = 8 cm, KN = 6 cm, and ∠LKN = 60°.[5 marks]

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