Question

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



and also the remaining

Answer 1

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

Volume of the cube = a3 = 44x44x44 = 85184 cm3.

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 cm3

n = (85184 x 21) / 704

n = 2541 bullets

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

Answer 2

vop. of cube =l^3
=44^3
=85184

vol of one bullet= 4/3πr^3
=4/3×22/7×2^3
=33.52

no of bullet = 85184/33.52
= 2541bullet approx