The area of the base of a right circular cone is 770 cm2 and the area of the

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The area of the base of a right circular cone is 770 cm² and the area of the curved surface is 814 cm². Its volume is

Options:

A . \((616\sqrt{5}) cm^{3}\)

B . \((166\sqrt{5}) cm^{3}\)

C . \((176\sqrt{5}) cm^{3}\)

D . none of these

Answer: Option A

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1 Comments

Aditya K jha 2017-09-01 19:18:25

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Area of base of cone = Ï€r^2= 22/7*r^2=770

r = 7âˆš5

Curved Surface Area of cone = Ï€rl=22/7*7âˆš5*l=814

l = 37/âˆš5

l^2 =h^2+ r^2

h = 12/âˆš5

Volume of cone = 1/3 Ï€r^2h
=1/3* 22/7* 7âˆš5*7âˆš5*12/âˆš5
=616âˆš5

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