Question

How many spherical bullets can be made out of a solid cube of lead whose edge measures 44cm,each bullet being 4cm in diameter.

Answer 1

Length of edge of a cube(a) = 44 cm

Volume of the cube = a³ = 44x44x44 = 85184 cm^3.

Diameter of a spherical bullet = 4 cm

Radius of a spherical bullet = 2 cm

Volume of the spherical bullet = (4/3)πr³.

V = (4/3) x (22/7) x 2 x 2 x 2 cm³

V = 704 / 21 cm³

Let n be the number of bullets.

Volume of the n bullets = volume of cube

n x (704 / 21) = 85184 cm^3.

n = (85184 x 21) / 704

n = 2541 bullets.

∴ 2541 spherical solid bullets can be made out of a solid cube.