Question

A right circular solid cone of maximum possible volume is cutoff from a solid metallic right circular cylinder of volume V. The remaining metal is melt and recast into four identical solid spheres. What is the volume of each sphere? *
1 point
a] V/12
b] V/6
c] V/9
d] V/8

Answer 1

Answer:

b V/6

Step-by-step explanation:

volume of right circular cylinder = πr2h = V

volume of right circular cone = 1/3πr2h = 1/3 V = V/3

therefore,

metal remaining = V - V/3

= (3V - V) / 3

= 2V/3

And there are 4 spheres

thus,

Volume of each sphere = (2V/3) / 4

= V/6

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