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Question

The radius of a cone is 3 cm and vertical height is 4 cm. Find the area of the curved surface.

Solution
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r=3 cm and h=4 cm
Let l be the slant height of the cone. Then,
l2=r2+h2
l2=32+42
l=5 cm
Therefore,
Area of the curved surface = πrl=227×3×5=47.14 cm2

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