A spherical metal ball of radius 8 cm is melted to make 8 smaller identical balls. The radius of each new ball is ______... | VSA 1m | Maths | SuperPadhai

Surface Areas And Volumes > Question

VSA1 markYear: 2020EasyCBSE Class 10

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Question

A spherical metal ball of radius 8 cm is melted to make 8 smaller identical balls. The radius of each new ball is ________ cm.

Solution

1

\frac{4}{3} π (8)^{3} = 8 \times \frac{4}{3} π r^{3} \Rightarrow r^{3} = 64 \Rightarrow r = 4

cm

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