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The number of balls of radius 2 cm that can be made from a sphere of radius 6 cm, is ______.

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Question

The number of balls of radius 2 cm that can be made from a sphere of radius 6 cm, is ______.

Options

  • 3

  • 27

  • 8

  • 64

MCQ
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Solution

The number of balls of radius 2 cm that can be made from a sphere of radius 6 cm, is 27.

Explanation:

The number of small balls formed is equal to the volume of the large sphere divided by the volume of one small ball. Since volume is proportional to the cube of the radius, the calculation is `(6/2)^3`

= `3^3`

= 27 balls

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Chapter 17: Mensuration - Exercise 17F [Page 407]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 17 Mensuration
Exercise 17F | Q 3. | Page 407
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