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WAEC Mathematics 2014 Paper
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© africaexams.com
Question : 16
Total: 49
The area of a sector a circle with diameter 12cm is 66cm
2
. If the sector is folded to form a cone, calculate the radius of the base of the cone [Take
π
=
22
7
]
3.0cm
3.5cm
7.0cm
7.5cm
Validate
Solution:
diameter = 12cm
radius =
12
2
cm = 6cm
area of sector = 66cm
2
area of sector = area of cone
66 =
π
r
l
66 =
22
7
×
r
×
6
divide both sides by 6
11 =
22
7
r
22r = 11 x 7
r =
77
22
= 3.5cm
© africaexams.com
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