Question

how many spherical bullets each of 5 cm diameter can be cast from a rectangular block of metal 11 dm into 1 m into 5 DM​

Answer 1

Answer:

1051.6

Step-by-step explanation:

volume of the block =

$11 \times 10 \times 5 = 550 \: {dm}^{3}$

volume of one pellet/bullet =

$\frac{4}{3} \times \pi \times {0.5}^{3} = 0.5233 \: {dm}^{3}$

total number of pellets =

$\frac{550}{0.5233} = 1051.6$

Answer 2

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.

★ According to 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.