In this question we have toh find number of bullets of 5 cm daimeter which can be cast from rectangular block.

This question is from maths class 10 rd sharma chapter 16 and exercise 16.1

Please someone provide me solution.

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A metallic block of dimension 11dm x 1m x 5dm

The diameter of each bullet = 5 cm

We know that,

Volume of the sphere = 4/3 πr

^{3}Since, 1 dm = 10

^{-1}m = 0.1 mThe volume of the rectangular block = 1.1 x 1 x 0.5 = 0.55 m

^{3}Radius of the bullet = 5/2 = 2.5 cm

Let the number of bullets made from the rectangular block be n.

Then from the question,

The volume of the rectangular block = sum of the volumes of the n spherical bullets

0.55 = n x 4/3 π(2.5)

^{3}Solving for n, we have

n = 8400

Therefore, 8400 can be cast from the rectangular block of metal.