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A frustum of a cone has radii 14 cm and 7 cm and vertical height 24 cm. Find its curved surface area in $cm^{2}$ . Take π = 22/7.

Competition practiceAreas & Volumes

A1100
B2200
C825
D1650

Step-by-Step Solution

Slant height

l

= √

(h^{2} + (R - r)^{2})

= √(576 + 49) = √625 = 25 cm. CSA = π

l (R + r) = (22/7) \times 25 \times 21 = 22 \times 75 = 1650 cm^{2}

.

Answer: D) 1650

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