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Question

# Three solid metallic spheres of radii 6, 8 and 10 centimetres are melted to form a single solid sphere. The radius of the sphere so formed is __________.

A
24cm
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B
16cm
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C
18cm
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D
12cm
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Solution

## The correct option is D 12cmGiven are three metallic spheres of radius 6,8,10 cm.They are melted to form a single solid sphere.Now,Volume of the single solid sphere=Volume of the three spheresSay the radius of the resulting sphere is r cm.∴43πr3=43π(6)3+43π(8)3+43π(10)3=>r3=63+83+103=>r=(1728)13=12cm

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