Question

a solid metallic sphere of radius 21 cm is recast into a right circular cylindrical rod of length 7 cm find the diameter of the rod​

Answer 1

Answer: 84cm

Step-by-step explanation:

Volume of solid metallic sphere = Volume of cylindrical rod

Volume of sphere = 4/3*22/7*r^3 (r = 21cm)

                             = 4*22*21*21 cm^3

Volume of cylindrical rod = 22/7*r^2*h

                                        = 22/7*r^2*7 cm^3

Equating..

4*22*21*21 = 22*r^2

r^2 = 21^2*2^2

r = 21*2 = 42 cm

Diameter of the rod = r*2 = 42×2 = 84 cm

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