Question

A sphere of radius 7cm with centre C and a larger sphere with centre E touches each other two common planks to both the spheres have an angle of 60 degree in between them.Then find the radius of larger sphere.​

Answer 1

Step-by-step explanation:

bigger circle touches smaller circle

so bigger circle radius becomes tangent to smaller circle

tangent=90degrees

so it forms a right angle triangle

so it is in cos ratio

cos c=adjacent side to angle c /hypotenuse

cos c=7/hypotenuse

c=60°

cos60°=7/hypotenuse

1/2=7/hypotenuse

hypotenuse=1/2=7/1 (cross multiplication)

hypotenuse=14

radius=hypotenuse of bigger circle

so radius=14

sorry I don't have figure

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