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2015
Mathematics
JAMB
Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14)
A.
17.1 cm
2
B.
27.2 cm
2
C.
47.1 cm
2
D.
37.3 cm
2
Correct Answer:
47.1 cm
2
Explanation
Find the slant height l
2
= h
2
+ r
2
(h = 4 cm, r = 3 cm) l
2
= 4
2
+ 3
2
= 16 + 9 =25 l
2
= √25 Squaring both sides l = 5cm The area of curved surface (s) =π(3)(5) 15π = 15 × 3.14 = 47.1 cm
2
Find the slant height l
2
= h
2
+ r
2
(h = 4 cm, r = 3 cm) l
2
= 4
2
+ 3
2
= 16 + 9 =25 l
2
= √25 Squaring both sides l = 5cm The area of curved surface (s) =π(3)(5) 15π = 15 × 3.14 = 47.1 cm
2
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