27 spherical balls of radius 3 cm are melted to form a bigger ball.find the radius of the new ball.
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here is the answer of your question:15.5cm approx.
Ankit20470:
i had answered fast
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given 27 spherical balls of radius 3cm are melted to form a bigger ball
so volume of 27 spherical balls is equal to the volume of bigger spherical ball
volume of small sphere is= 4/3*22/7*r²
given r=3
=4/3*22/7*3*3
=88/21*9
792/21
volume of 27 spheres is 27*792/21
9*792/7
let as assume radius of big sphere is R
volume of big sphere= 4/3*22/7*R²
9*792/7=4/3*22/7*R²
9*792=4/3*22*R²
27*792=88*R²
243=R²
15.5=R
I HOPE THIS WILL HELP U
so volume of 27 spherical balls is equal to the volume of bigger spherical ball
volume of small sphere is= 4/3*22/7*r²
given r=3
=4/3*22/7*3*3
=88/21*9
792/21
volume of 27 spheres is 27*792/21
9*792/7
let as assume radius of big sphere is R
volume of big sphere= 4/3*22/7*R²
9*792/7=4/3*22/7*R²
9*792=4/3*22*R²
27*792=88*R²
243=R²
15.5=R
I HOPE THIS WILL HELP U
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