The diameter of a right circular cone is 14 m, while its

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The diameter of a right circular cone is 14 m, while its slant height is 9 m, Find the volume of the cone. ?

1. 49 π √32/3 m³
2. 50 π √32/3 m³
3. 3/49 π √32 m³
4. π√32/9 m³

Correct Option: A

Given, l = 9 m
and diameter = 14 m ⇒ r = 14/2 = 7 m
Now, volume = (1/3)πr²h
= (1/3)π x 49 x √l² - r²
= (1/3)π x 49 x √81 - 49
= (1/3) x 49π x √32 = 49π√32 /3 m³