Question

From a cube of side 7cm a largest possible sphere is made .what is its volume?

Answer 1

For 3d figures, if they are converted from one shape to another, then also their volume remains the same. So the volume of cube would be equal to the volume of sphere.


=> 7³ = volume of sphere

(since voulme of cube = 7³)

=> voulme of sphere = 343 cm³

Answer :- 343 cm³


Additional info (Not related with the question) :-

Now if you want to find out the radius of the sphere then apply the formula

Volume = 4/3 πr³

=> 4/3 πr³ = 343

=> r³ = 343 × 3/4 × 1/π

=> r³ = 343 × 3/4 × 7/22

=> r³ = 7203/88

=> r = cube root of 7203/88 which is approximately equal to 4.34



Hope it helps dear friend ☺️✌️

Answer 2

radius of the sphere will be 3.5
because the length of the side of cube is 7 cm
we know that volume of sphere is
$4 \div 3\pi {x}^{3}$
where X=radius
4/3*22/7*3.5*3.5*3.5
=179.66 cm cubes