Question

# The largest sphere is carved out of a cube of side $$7 cm$$. Find the volume of the sphere. (Take $$\pi =3.14$$).

A
152.74cm3
B
243.41cm3
C
179.67cm3
D
195.01cm3

Solution

## The correct option is C $$179.67{ cm }^{ 3 }$$The diameter of sphere $$=$$ side of cube $$= 7 cm$$Radius of sphere  $$=\dfrac { 7 }{ 2 }$$ $$= 3.5 cm$$Volume of sphere  $$=\dfrac { 4 }{ 3 } \pi { r }^{ 3 }=\dfrac { 4 }{ 3 } \times 3.14\times 3.5\times 3.5\times 3.5$$                               $$= 179.67$$ $${ cm }^{ 3 }$$Mathematics

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