From a circular disk of radius 13 cm a sector is cut with center angle θ . If
the height of the right circular cone formed using the above sector is 12 cm
then θ is
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Step-by-step explanation:
Slant height of cone = radius of circle from which sector is cut
l=10cm
Area length of 144
0
sector = 2π×radius×
360
0
144
0
= 2π×10×
360
144
=8π
Circumference of the base of cone = arc length = 8π cm
∴ 2πr=8π⇒r=4cm
h=
l
2
−r
2
=
10
2
−4
2
=
100−16
=
84
=2
21
∴ Volume of cone =
3
1
πr
2
h=
3
1
×
7
22
×4×4×2
21
=
21
704
21
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