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The sector of radius 21 cm and arc 44 cm is made into a cone. What is the curved surface area of that cone?

Class 9Surface Area of a ConeMensuration

A $924 cm^{2}$
B $616 cm^{2}$
C $462 cm^{2}$
D $154 cm^{2}$

Step-by-Step Solution

The curved surface IS the sector. Its area = ½ × arc × radius = ½ ×

44 \times 21 = 462 cm^{2}

. Check: πrl =

(22/7) \times 7 \times 21 = 462 cm^{2}

.

Answer: C)

462 cm^{2}

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