Question

Find number of small spheres of radius
2 cm which can be formed by melting a ball of iron of radius 4 cm

Answer 1

Answer:

Number of spheres is 8

Step-by-step explanation:

Volume of sphere = 4/3 π r³

r = 2 cm

R = 4 cm

Volume of small sphere = 4/3 π r³

                                        = 4/3 π × 2³

                                        = 4/3  π × 8

                                        = 32/3  π

Volume of big sphere = 4/3  π R³

                                     = 4/3  π × 4³

                                     = 4/3 × 64 ×  π

                                     = 256  π / 3

Number of spheres = ( 256  π / 3 ) / ( 32  π / 3 )

                                 = 256 / 32

                                 = 8

Answer 2

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