Mathematics · May / June 2022 · Paper 22 · Question 23
0580
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NOT TO SCALE l 6.2 cm The diagram shows a solid metal shape made from a cone and a hemisphere, both with radius 6.2 cm. The total surface area of the solid shape is 600 cm2. Calculate the slant height, l, of the cone. [The surface area, A, of a sphere with radius r is r A r 4 2 = .] [The curved surface area, A, of a cone with radius r and slant height l is l r A r = .] l = cm [4]
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18.4 or 18.40… [4]
1 − ××× π 2 600 4 6.2 2
M3 for oe × π 6.2
or M2 for 1 ×× π × + π × ×= 4 6.2 2 6.2 l 600 oe 2 600 4 6.2 − ×× π 2 or or better × π 6.2 ×× 1 π × 2 π× ×
or M1 for 4 6.2 or 6.2 l 2
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