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A cone has base radius 7 cm and slant height 25 cm. Find its volume in $cm^{3}$ . Take π = 22/7.

Competition practiceAreas & Volumes

A3696
B1232
C616
D1848

Step-by-Step Solution

Height

h

= √

(2 5^{2} - 7^{2}) =

√(625 − 49) = √576 = 24 cm. Volume = (1/3)π

r^{2} h = (1/3) \times (22/7) \times 49 \times 24 = (1/3) \times 3696 = 1232 cm^{3}

.

Answer: B) 1232

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