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12 Spheres of the Same Size Are Made from Melting a Solid Cylinder of 16 Cm Diameter and 2 Cm Height. the Diameter of Each Sphere is - Mathematics

MCQ

12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is

Options

  • \[\sqrt{3}\] cm

  • 2cm

  • 3cm

  • 4cm

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Solution

The volume of solid cylinder = 12 × volume of one sphere

`pi xx (8)^2 xx 2 = 12 xx 4/3 pi r^3`

               `128=16r^3`

                  `r^3 = 128/16`

`r = 3sqrt(64/8)`

`=4/2`

`r = 2 cm`

The required diameter d = 2 × 2 = 4 cm

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Q 25 | Page 90
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