Answer: 7.6cm
Step-by-step explanation:
The volume of a sphere is given as:
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
since the volume has be given to be 1837.35 and [tex]\pi[/tex] is 3.14 , we will substitute into the formula, that is :
[tex]1837.35=\frac{4}{3}(3.14)r^{3}[/tex]
multiplying through by 3 , we have :
[tex]5512.05= 4(3.14)r^{3}[/tex]
[tex]5512.05=12.56r^{3}[/tex]
divide through by 12.56
[tex]438.8574841=r^{3}[/tex]
find the cube root of both sides :
therefore :
[tex]r = 7.599315982[/tex]
Therefore:
[tex]r[/tex]≈ 7.6cm
