if 8 small spherical metal balls of the same size are melted and made into a single spherical ball, the radius of the new ball will be ___ times that of a single small ball.
Answers
Given info : eight small spherical metal balls of the same size are melted and made into a single spherical ball.
To find : the radius of the new ball will be ___ times that of a single small ball.
solution : let radius of small ball is r and radius of big ball is R.
8 × volume of a small ball = volume of big ball
⇒8 × 4/3πr³ = 4/3πR³
⇒8r³ = R³
⇒(2r)³ = R³
⇒2r = R
Therefore the radius of the new ball will be 2 times that of a single ball.
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