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Answer :

Step-by-step explanation:

(4/3)•πr³

= 4/3 • π • (1/4)³

= π/48 cubic units or 150.86 cubic units

Volume of sphere is  [tex]\frac{11}{14}[/tex] cubic unit.

What is Volume of sphere?

The volume of sphere is the measure of space that can be occupied by a sphere. A sphere is a three-dimensional shape that has no edges or vertices.

Volume of sphere = [tex]4\pi r^{2}[/tex]

Given

Radius of sphere = [tex]\frac{1}{4}[/tex] unit

Volume of sphere = [tex]4\pi r^{2}[/tex]

= 4 × [tex]\pi[/tex] × [tex](\frac{1}{4} )^{2}[/tex]

= 4 × [tex]\frac{22}{7}[/tex] × [tex]\frac{1}{16}[/tex]

= [tex]\frac{11}{14}[/tex]

Hence, Volume of sphere is  [tex]\frac{11}{14}[/tex] cubic unit.

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