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A solid metallic cylinder of radius 3.5 ...

A solid metallic cylinder of radius 3.5 cm and height 14 cm is melted and recast into a number of small solid metallic balls, each of radius `(7)/(12) cm.` Find the number of balls so formed.

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To find the number of small solid metallic balls formed from melting a solid metallic cylinder, we can follow these steps: ### Step 1: Calculate the Volume of the Cylinder The volume \( V \) of a cylinder is given by the formula: \[ V = \pi r^2 h \] where \( r \) is the radius and \( h \) is the height of the cylinder. ...
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Knowledge Check

  • A solid metallic cone of radius 10 cm and height 2/5 m is meltedad recast into a sphere .Find the radius of the sphere .

    A
    `10sqrt(10)`cm
    B
    `(10)^(1/3) `cm
    C
    10 cm
    D
    8 cm

  • A solid metallic sphere of diameter 16 cm is melted and recast into a number of smaller cones each of radius 4 cm and height 8 cm. Find the number of cones so formed.

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  • If a metallic cone of radius 30 cm and height 45 cm is melted and recast into metallic spheres of radius 5 cm, find the number of spheres.

    A
    81
    B
    41
    C
    80
    D
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