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12 solid spheres of the same size are ma...

12 solid spheres of the same size are made by melting a solid metallic cone of base radius 1 cm and height of 48 cm. Find the radius of each sphere.

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To solve the problem, we need to find the radius of each sphere that can be formed by melting a solid metallic cone. Here are the steps to arrive at the solution: ### Step 1: Calculate the volume of the cone. The formula for the volume \( V \) of a cone is given by: \[ V = \frac{1}{3} \pi r^2 h \] where \( r \) is the base radius and \( h \) is the height of the cone. ...
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Knowledge Check

  • Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm height 16 cm . The diameter of each sphere is .

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    B
    `(10)^(1/3) `cm
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    10 cm
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