Question

A metallic right circular cylinder of radius 6 cm and height 14 cm is melted and recast into three spheres. If the radii of two of these sphere are 2 cm and 3 cm find the radius of the third

Answer 1

Answer:

volume of cylinder = πr 2h

= πx6^2 x 14=504πcm3

3 spheres vols.

4/3πri^3+4/3πr 2^3+4/3πr 3^3

4/3πx2^3+4/3πx3^3+4/3πr 3^3

4/3π(8+27+r3^3)

504π = 4/3π(35+r3^3)

35+r3^3=504πx3/4π

35 +r3^3=I26x3

35 +r3^3=378

r3^3=378-35

= 343

r = 3v343

r = 7cm

Radius of the 3rd sphere = 7 Cms

Answer 2

aaaaaaqqqaaaqdfghhjjtredchjiuutr