Find the number of solid spheres, each of diameter 6 cm that can be made by melting a solid metal cylinder of height 45 cm and diameter 4 cm. (2014D)
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Find the number of solid spheres, each of diameter 6 cm that can be made by melting a solid metal cylinder of height 45 cm and diameter 4 cm. (2014D)
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Answer:
d=6 cm r=3 cm
H=45 cm r=2cm
Let no. of sphere be 'n'
Vol. of cylinder = n x Vol of 1 sphere
pi R2 H = n x 4/3 pi r3
pi x 2 x 2 x 45= n x 4/3 pi r3
180 = n x 4/3 x 27
180 / 36= n
Therefore, n = 5 spheres
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