Question

how many spherical balls can be made out of a solid cube of lead whose edge is what was any medicine age for being in 4 cm in diameter​

Answer 1

Sol: 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.