how many sperical bead each 5 mm can be made out of solid rectangular block measuring 15 by 13 by 11 cm do on paper or dont do
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Step-by-step explanation:
the volume of the solid rectangular block is,
V = 150 mm x 130 mm x 110 mm = 2,145,000 mm3
So this is the amount of material that we have to make all of the spheres. Keep in mind that the volume of a sphere is,
V = (4/3)*pi*r3 where r is the radius.
So how many solid spheres can we make from this much material? If we let n = the number of spheres then,
n*(4/3)*pi*(5)3 = 2,145,000 --> number of spheres times volume per sphere = total volume
solving this for n gives n = 4096.65. However, since talking about whole spheres we just truncate the result and we have that n = 4096 for the number of spheres that can be made.
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