Question 5 — IGCSE 0580 May/June 2023 Paper 42
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Mensuration · Perimeter, Area and Volume. Worth 13 marks.
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Question text
5 (a)
NOT TO
15 cm
SCALE
8 cm
A cone has base diameter 8 cm and perpendicular height 15 cm.
(i) Calculate the volume of the cone.
1
[The volume, V, of a cone with radius r and height h is V = rr2h.]
3
......................................... cm3 [2]
(ii) A label completely covers the curved surface area of the cone.
Calculate the area of the label as a percentage of the total surface area of the cone.
[The curved surface area, A, of a cone with radius r and slant height l is A = rrl.]
............................................. % [5]
© UCLES 2023 0580/42/M/J/23
11
(b)
NOT TO
SCALE
0.45 m
An empty cylindrical container has radius 0.45 m.
300 litres of water is poured into the container at a rate of 375 ml per second.
(i) Find the time taken, in minutes and seconds, for all the water to be poured into the container.
............................. min ............................. s [3]
(ii) Calculate the height of the water in the container.
............................................. m [3]
© UCLES 2023 0580/42/M/J/23 [Turn over
12
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