how many balls each of radius 0.5 cm can be made from a solid sphere of metal
of radius 10 cm by melting the sphere?
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R=10 cm
r=0.5 cm =1/2 cm
Let no. of balls be 'n'
Vol. of sphere = n x Vol of 1 lead ball
4/3 pi R3 = n x 4/3 pi r3
4/3 pi R3 = n x 4/3 pi r3
10 x 10 x 10 = n x 1/2 x 1/2 x 1/2
1000 x 8 = n
Therefore, n = 8000 balls.
r=0.5 cm =1/2 cm
Let no. of balls be 'n'
Vol. of sphere = n x Vol of 1 lead ball
4/3 pi R3 = n x 4/3 pi r3
4/3 pi R3 = n x 4/3 pi r3
10 x 10 x 10 = n x 1/2 x 1/2 x 1/2
1000 x 8 = n
Therefore, n = 8000 balls.
genius9:
value of pie is either 3.14 or 22/7
yes both is correct
both side pi is there,so it vl get cancelled...
and the formula for area is pie r2. but you have multipled it thrice
bro..the total volume will remain constant..not the area.
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