Question

The largest sphere is carved out of a

cube of side 7 cm. The volume of the

sphere is

1) 179.67 cm3

2) 165 cm3

3) 175.67 cm3

4) 343 cm3





answer post karo​

Answer 1

Solution :-

Provided :-

• The length of side of cube = 7cm

Now as we know that the largest Sphere we carve out from it will have its diameter = 7cm

Or radius of sphere = 3.5 cm

Now as we know the volume of sphere

$\star \sf{\dfrac{4}{3} \pi r^3 }$

Putting values

$= \sf{\dfrac{4}{3}\times \dfrac{22}{7} \times (3.5)^3 }$

$= \sf{\dfrac{4}{3}\times \dfrac{22}{7} \times 42.875 }$

$= \sf{ \dfrac{539}{3} }$

$\boxed{ \sf { = 179.667 \: cm^3}}$