Imagine a Sector of a circle of radius 10 cm and angle 288°
a) Find, as a multiple of t, the arc length of the sector.
The straight edges are brought together to make a cone.
Calculate:
288°
10 cm
b) the radius of the base of the cone
c) the vertical height of the cone
Answers
Answer:
Step-by-step explanation:
9th
Maths
Surface Areas and Volumes
Volume of Cone
A sector of a circle of rad...
MATHS
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Asked on December 26, 2019 by
Rajnandini Arora
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 cm
3
)
MEDIUM
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ANSWER
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
U can do it like this just put your value