Hello!
Answer:
[tex]\boxed{ \bf The~radius~of~the~sphere~is~6~mm.}[/tex]
Explanation:
We know that:
V = [tex]\frac{4}{3}[/tex]πr³
904.32 = [tex]\frac{4}{3}[/tex]πr³
To figure out the radius, we have to undo the above. We can undo the fraction by multiplying by it's reciprocal:
[tex]\frac{3}{4}[/tex] × [tex]\frac{904.32}{1}[/tex] = [tex]\frac{4}{3}[/tex]πr³ × [tex]\frac{3}{4}[/tex]
678.24 = πr³
Next, we're going to divide both sides by pi:
[tex]\frac{678.24}{\pi } = \frac{\pi r^{2} }{\pi }[/tex]
215.90 = r³
To undo the, we must find the cube root of 215.90.
r = 6
