Question

from a circle of radius 7 cm a sector subtending 120 at the centre was removed.the cones are formed by joining a straight edge of each sector and remaining portion of circle.Find the ratio of volume of bigger cone to smaller cone​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Steps

Radius of circle = slant height of cone = 7cm

Angle of arc is 120°

Length of arc = X/360°(2πr)

=120°/360°(2π12)

=8π

Circumference of circle = Length of arc

2πr= 8π

r=4

Theorem

(slant height)²= (height)²+(radius)2

12²= (height)²+(4)²

144=h²+16

h²= 144-16

h²= 128

h=√128cm

Volume of cone =1/3πr²h

=

$\frac{1}{3} \times \pi \times ( \sqrt{128) \times } {4}^{2}$

=1/3×22/7×√(2×64) ×16

=22×128×√2/21 cm³