Answer:
The radius is
[tex]4\: inches[/tex]
Step-by-step explanation:
The volume of a cylinder is
[tex]\pi {r}^{2} h[/tex]
Since the question already gave us
[tex]v= 150.72 \: \: \ \: \: \: \: h = 3 \: \: \: \: \: \: \: r = x \: \: \: \\ \pi = 3.14[/tex]
We can now solve for the radius
[tex]v = \pi{r}^{2} h \\ 150.72 = (3.14) {r}^{2} (3) \\ \\ \frac{150.72}{3.14} = {r}^{2}(3) \\ \\ 48 = {r}^{2} (3) [/tex]
[tex] \frac{48}{3} = {r}^{2} \\ \\ 16 = {r}^{2} \\ \\ \sqrt{16} = \sqrt{ {r}^{2} } \\ \\ 4 = r[/tex]
