A metallic cone of diameter 32cm and height 9cm is melted and made into indenticle each of radius 2 cm how many such sphere can be made
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Step-by-step explanation:
Given that a solid sphere of radius =8 cm
With this sphere, we have to make spherical balls = 1 cm
Since we don’t know number of balls let us assume that number of balls be n
We know that,
Volume of the sphere = \(\frac{4}{3}\prod r^{3}\)
The volume of the solid sphere equal to sum of the n spherical balls.
= \(n(\frac{4}{3}\prod 1^{3})\)= \(\frac{4}{3}\prod r^{3}\)
= n= 8³ =n= 512
Hence 512 numbers of balls can be made of radius 1 cm of a solid sphere of radius 8 cm.
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