Question

If the volume of a sphere is 2304Πcm^3 then its diameter is​

Answer 1

Answer:

Volume of a sphere =  

3

4

​  

πcm  

3

 

⟹  

3

4

​  

πr  

3

=  

3

4

​  

3

4

​  

πr  

3

]

⟹r  

3

=1

∴r=1cm

But, 1 cm=0.01m

Thus, the radius is 0.01 m

Answer 2

Answer:

volume of a sphere of radius r cm is 4/3πr^3

4/3πr^3=2304π

=> 4r^3=3×2304

=> r^3=3×2304/4

=> r^3=3×576

=> r^3=3×8×3×8×3

=> r^3=3×3×3×4×4×4

=> r=3×4

=> r=12

so it's diameter is 2×12cm=24cm