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A cone is formed by bending a sector of a circle having an a...

A cone is formed by bending a sector of a circle having an angle of 210o. Find the radius of the base of the cone if the diameter of the circle is 12cm.

A.

12cm

B.

7.00cm

C.

1.75cm

D.

21cm

E.

3.50cm

Correct answer is E

If diameter of the circle = 12cm; radius of the circle(L) = 122

= 6cm

θ360 = rL where θ = 210θ, L = 6cm

210360 = r6

where r = radius of the base of the cone

V = 1260360

= 3.50cm