If the area of the base of a cone is 770 cm2and the curved surface area is 814 cm2 then its volume is
616√5cm3
616/√5cm3
616√3cm3
616√2cm3
A
616√5cm3
B
616√3cm3
C
616/√5cm3
D
616√2cm3
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Solution
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Given area of base of cone is 770 sq cm and curved surface area is 814 sq cm
Let radius of cone is r
∴πr2=770⇒r2=770π⇒r=√770π
∴πrl=814⇒l=814πr
Then volume of cone =13πr2l=13×770π×814πr=616√5cm3
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