Find the radius of each of the 8 spherical balls which are made from a solid sphere of radius 10 cm by melting it.
Answers
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Given info : 8 spherical balls are made from a solid sphere of radius 10 cm by melting it.
To find : the radius of each spherical ball is ..
solution : let radius of each spherical ball is r.
volume of 8 spherical balls = volume of spherical solid sphere
⇒8 × 4/3πr³ = 4/3 π (10 cm)³
⇒8r³ = (10 cm)³
⇒(2r)³ = (10 cm)³
⇒2r = 10 cm
⇒r = 5 cm
Therefore the radius of each of the spherical balls is 5 cm.
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