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Question

A sector of a circle of radius 10 cm is folded such that it forms into a cone. If the central angle of the sector is 144 then what is the volume of the cone formed ? (in cm3 )
  1. 7042121
  2. 6281111
  3. 5762121
  4. 6821111

A
6281111
B
7042121
C
5762121
D
6821111
Solution
Verified by Toppr

Slant height of cone = radius of circle from which sector is cut
l=10cm
Area length of 1440 sector = 2π×radius×14403600
= 2π×10×144360=8π
Circumference of the base of cone = arc length = 8π cm
2πr=8πr=4cm

h=l2r2=10242=10016=84=221

Volume of cone = 13πr2h=13×227×4×4×221

= 7042121

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