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How Many Lead Balls of Radii 1 Cm Each Can Be Made from a Sphere of 8 Cm Radius? - Mathematics

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Question

How many lead balls of radii 1 cm each can be made from a sphere of 8 cm radius?

Sum

Solution

Volume of sphere = `4/3pir^3`

Volume of sphere = `4/3pi8^3`

= `4/3pi512`

= `682.6667pi`

Volume of lead ball = `4/3pi1^3`

= `1.333333pi`

No. of lead balls that can be made = `(682.6667pi)/(1.333333pi) = 512`

No. of lead balls that can be made = 512

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Chapter 20: Mensuration II - Exercise 20.2

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 20 Mensuration II
Exercise 20.2 | Q 16

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