how many spherical balls can be made out of a solid cube of lead whose edge measures 44 cm each Ball being 4 cm in diameter
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Are all these figures solid
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Step-by-step explanation:
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.
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