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How many spherical lead shots of diameter 4 cm can be made out of a solid cube of lead whose edge measures 44 cm?

Answer:

**Solution:**

No matter how different the new shape is, when we change one solid shape into another, its volume stays the same. In reality, if we divide a large cube into numerous small spheres of lead, the total volume of the smaller spheres equals the volume of the original cube.

Edge of the cube, a = 44 cm

Volume of cube = a^{3}

= 44^{3}

= 85184 cm^{3}

Diameter of shot = 4 cm

So radius of shot, r = 4/2 = 2 cm

Volume of a shot = (4/3)π r^{3}

= (4/3)×(22/7)×2^{3}

= 704/21 cm^{3}

Number of lead shots made from cube = 85184÷(704/21)

= 85184×21/704

= 2541

**Hence the number of shots made from cube is 2541.**

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