Question

the volume of a sphere whose surface area is 55.44cm^2 is

Answer 1

hello users ...

given that :-
Surface Area of sphere = 55.44 cm²

we have to find :
volume of sphere = ?

solution:-
we know that:
Surface area of sphere = 4πr²
&
volume of sphere = 4/3 × πr³

here,
according to given;
=> 4πr² = 55.44 cm²

=> r² = 55.44 / 4π

=> r² = 55.44/4 × 7/22

=>r² = 441

=> r² = 21²

=> r = 21 cm

Now,
volume of sphere = 4/3×πr³

= 4πr² × r/3

=> 55.44 × 21/3

=> 55.44 × 7

=> 388.08 cm³ Answer

✡✡ hope it helps