Mathematics · May / June 2025 · Paper 21 · Question 13
0580
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10 cm 6 cm Solid A Solid Ð 4 cm cm NOT TO SCALE The diagram shows solid A and solid Ð. Solid A is made from a hemisphere and a cone each with radius 6 cm. The cone has sloping edge 10 cm. Solid Ð is a cylinder with radius 4 cm and height cm. The total surface area of solid A is equal to the total surface area of solid Ð.
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13(a)[5]
12.5 oe [5]
M4 for 8[π]h = 100[π] OR
M3 for π 6 10 ×× + ×× 2 π 6 = 2 π 4 ×× + ××× 2 π 4 h 2 2 oe OR
M1 for π 6 10 ×× × π × 6 2 + 2 oe 2 π ×× 4 2 + ××× oe 2 π 4 h M1 OR
SC2 for answer 16.5
13(b)[3]
14 [3]
M2 for 2 − 2 10 6
or M1 for 62 + x2 = 102
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