# From a circle of radius 15 cm., a sector with angle 216° is cut out and its bounding radii are bent so as to form a cone. Find its volume.

1
by Ali548

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by Ali548

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=>pi*r1*l=(216/360)*pi*r^2(here l=r=radius of the sector=lateral length of the cone,r1=radius of the cone)

solving it we get,

=>r1=9

now by pythagoras theorem;

r1^2+h^2=l^2

solving it we get

=>h=12

so volume =(1/3)*pi*r1^2*h

so V=(1/3)*pi*9^2*12

solving it we get V=1017.36cu.cm