Question

if the radius of a sphere are 1 cm 8 cm and 7 cm respectively it is the melted and form of ball what is radius

Answer 1

hello users......
*************************************************
We have :
three spheres of radius 1cm, 8cm ,7cm .

we have to find:
the radius (R) of sphere formed by melting these three spheres .

solution:-
we know that:
volume of sphere → 4/3×πr³

here,
volume of sphere of radius 1cm
= 4/3× π(1)³
= 4/3π
and
volume of sphere of radius 8 cm
= 4/3×π (8)³
= 512×4/3×π

and
volume of sphere of radius 7cm
= 4/3×π (7)³
= 343 ×4/3 ×π

Now.
=> the volume of sphere formed by
melting these spheres → 4/3×πR³

= 4/3π + 512×4/3×π + 343 ×4/3 ×π

=> 4/3×π ( 1+512 +343)

=> 4/3×π ×856

=> 4/3×πR³ = 4/3×π×856

=> R³ = 856

=> R = 9.4949

=>R ≈ 9.5 cm answer

***************************************************

⭐✡ hope it helps ✡⭐