मराठी

How many balls each of radius 1 cm can be made by melting a bigger ball whose diameter is 8 cm? - Mathematics

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प्रश्न

How many balls each of radius 1 cm can be made by melting a bigger ball whose diameter is 8 cm?

बेरीज
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उत्तर

Diameter of bigger ball = 8 cm

Therefore, Radius of bigger ball = 4 cm 

Volume = `4/3pir^3`

= `4/3pi xx 4 xx 4 xx 4`

= `(256pi)/3cm^3` 

Number of balls = `(( 256pi)/3)/((4pi)/3)`

= `(256pi)/3 xx 3/(4pi)`

= 64 

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