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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How many spherical bullets each of 5 cm in diameter can be cast from a rectangular block of metal 11dm x 1 m x 5 dm?
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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 πr3
Since, 1 dm = 10-1m = 0.1 m
The volume of the rectangular block = 1.1 x 1 x 0.5 = 0.55 m3
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.