How many spherical bullets each of 5 cm in diameter can be cast from a

1.	How many spherical bullets each of 5 cm in diameter can be cast from a rectangular block of metal 11 dm x 1 m x 5 dm?
Answer» Given, 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.

How many spherical bullets each of 5 cm in diameter can be cast from a rectangular block of metal 11 dm x 1 m x 5 dm?

Answer»

Given,

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.