Question

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

Answer 1

Answer: Plz mark brainliest

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 spherical bullets can be cast from the rectangular block of metal.