Question 8 — IGCSE 0580 May/June 2024 Paper 43
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Mensuration · Perimeter, Area and Volume. Worth 14 marks.
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Question text
8 (a)
NOT TO
SCALE
16 cm 1.5 cm
The diagram shows a solid made from a cylinder and a cone.
The height of the cylinder is 16 cm and the height of the cone is 1.5 cm.
The radius of the cylinder and the base radius of the cone are each 0.35 cm.
(i) Calculate the total surface area of the solid.
[The curved surface area, A, of a cone with radius r and slant height l is A = rrl.]
......................................... cm2 [5]
(ii) Calculate the volume of the solid.
1
[The volume, V, of a cone with radius r and height h is V = rr2h .]
3
......................................... cm3 [3]
(iii)
NOT TO
1.4 cm SCALE
3.5 cm
10 of the solids are placed in a box in the shape of a cuboid of length 17.5 cm.
The diagram shows one end of the box.
Calculate the volume of the empty space in the box.
......................................... cm3 [3]
(cid:300)(cid:205)(cid:265)(cid:191)(cid:288)(cid:179)(cid:237)(cid:203)(cid:241)(cid:209)(cid:257)(cid:205)(cid:290)(cid:209)(cid:272)(cid:198)(cid:292)(cid:215)
© UCLES 2024 (cid:300)(cid:282)(cid:280)(cid:227)(cid:190)(cid:286)(cid:190)(cid:263)(cid:214)(cid:255)(cid:247)(cid:282)(cid:188)(cid:262)(cid:270)(cid:266)(cid:224)(cid:258) 0580/43/M/J/24
(cid:293)(cid:277)(cid:293)(cid:213)(cid:181)(cid:245)(cid:229)(cid:245)(cid:213)(cid:261)(cid:213)(cid:277)(cid:245)(cid:229)(cid:293)(cid:277)(cid:293)(cid:213)
M
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
* 0019655323417 *
17
(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:3)(cid:4)(cid:5)(cid:2)(cid:8)(cid:44)
(b)
NOT TO
SCALE
The diagram shows two mathematically similar solids.
The surface area of the larger solid is 200cm2 and the surface area of the smaller solid is 98cm2.
The volume of the larger solid is 450cm3.
Calculate the volume of the smaller solid.
......................................... cm3 [3]
(cid:300)(cid:207)(cid:265)(cid:191)(cid:288)(cid:179)(cid:237)(cid:203)(cid:241)(cid:209)(cid:257)(cid:205)(cid:290)(cid:209)(cid:270)(cid:198)(cid:292)(cid:215) [Turn over
© UCLES 2024 (cid:300)(cid:282)(cid:279)(cid:228)(cid:198)(cid:300)(cid:194)(cid:247)(cid:227)(cid:249)(cid:266)(cid:207)(cid:288)(cid:238)(cid:202)(cid:266)(cid:208)(cid:258) 0580/43/M/J/24
(cid:293)(cid:277)(cid:277)(cid:277)(cid:245)(cid:277)(cid:197)(cid:277)(cid:197)(cid:245)(cid:261)(cid:277)(cid:245)(cid:197)(cid:261)(cid:213)(cid:245)(cid:213)
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
* 0019655323418 *
18
(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:3)(cid:4)(cid:5)(cid:2)(cid:9)(cid:44)
NIGRAM
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