Step-by-step explanation:
The formula for the volume of a sphere is V = 4/3 πr³.
So
Given
Volume (v) = 57ft³
[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]57 = \frac{4}{3} \times 3.14 \times {r}^{3} [/tex]
[tex]57 = \frac{12.56}{3} \times {r}^{3} [/tex]
[tex]57 = 4.19 \times {r}^{3} [/tex]
[tex] {r}^{3} = \frac{57}{4.19} [/tex]
[tex] {r}^{3} = 13.6[/tex]
[tex]r = \sqrt[3]{13.6} [/tex]
Therefore r = 2.4 ft
I gave my answers by rounding off. so if you don't round off then it's answer is 2.3 ft
