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  1. 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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Area of base of cone = πr^2= 22/7*r^2=770

r = 7√5

Curved Surface Area of cone = πrl=22/7*7√5*l=814

l = 37/√5

l^2 =h^2+ r^2

h = 12/√5

Volume of cone = 1/3 πr^2h
=1/3* 22/7* 7√5*7√5*12/√5
=616√5

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