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

Mathematics
JAMB 2015

Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14)
  • A. 17.1cm2
  • B. 27.2cm2
  • C. 47.1cm2
  • D. 37.3cm2
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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 × 3.14

= 47.1cm2

There is an explanation video available below.


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Explanation Video

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