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The number of balls of radius 1 cm that can be made from a sphere of radius 10 cm will be

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1000

10000

100000

100

answer is A.

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Detailed Solution

Given that the radius of the ball that is made from a sphere of radius 10 cm is 1 cm.
The formula for the volume of sphere is given by,
Volume of sphere

= \frac{4}{3} π r^{3},

where r is its radius.
So, after substituting the value of all the dimensions in the formula we get,
Volume of sphere =

\frac{4}{3} \times π (10^{3}) = \frac{4000}{3} πc m^{3}

And volume of ball =

\frac{4}{3} \times π (1^{3}) = \frac{4}{3} πc m^{3}

Then number of ball made =

\frac{\frac{4000}{3} π}{\frac{4}{3} π} = 1000

Therefore, the number of balls is 1000.
Hence option (1) is correct.

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