Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm height 16 cm . The diameter of each sphere is .

Options

A. 2 cm
B. 3 cm
C. 4 cm
D. 6 cm

Answer

A

Explanation

Let the diameter of each sphere be d cm. Then ,
`12 xx 4/3 pi r^3= pi R^2 h rArr 12 xx4/3 pi xx(d/2)^3 = pi xx l^2 xx 16`
`rArr 2d^3 = 16 rArr d^3 =8=2^3 rArr d =2 cm.`