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Find the area of the curved surface of a cone whose base radius is 3cm and whose height ...

Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14)
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  • A 17.1cm2
  • B 27.2cm2
  • C 47.1cm2
  • D 37.3cm2
Correct Answer: Option C
Explanation:
Find the slant height
\( l^2 = h^2 + r^2(h = 4cm,r = 3cm)\)
\( l^2 = 4^2 + 3^2 = 16 + 9 = 25 \)
\( l^2 = √ 25 \)
Squaring both sides
l = 5cm
The area of curved surface (s) =π(3)(5)
15π = 15 x 3.14
= 47.1cm2

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