Question

How many sphencal balls can be made out of a solidcube of lead whose edge measures
ball being 4 cm in diameter.​

Answer 1

Answer:

Step-by-step explanation:

Given :-

Diameter of a spherical bullet = 4 cm

To Find :-

Number of spherical solid bullets can be made out of a solid cube.

Solution :-

Let the total number of bullets be x cm

Radius of a spherical bullet = 4/2 = 2 cm

Volume of a spherical bullet = 4/3π × (2)³

= 4/3 × 22/7 × 8

Volume of x spherical bullets

= 4/3 × 22/7 × 8 × x cm³

Volume of the solid cube = (44)³ cm³

Volume of x spherical bullets = volume of cube

⇒  4/3 × 22/7 × 8 × x = 44 × 44 × 44

⇒  x = 44 × 44 × 44 × 7× 3/4 × 22 × 8

= 2541

Hence, total number of spherical bullets are 2541.