Answer:
[tex]r = 2.9cm[/tex]
Step-by-step explanation:
Volume of a cylinder =
[tex]\pi {r}^{2}h[/tex]
[tex]199 = 3.14 \times {r}^{2} \times 7.4[/tex]
[tex] {r}^{2} = \frac{199}{3.14 \times 7.4} [/tex]
[tex] {r}^{2} = 8.56[/tex]
Take square roots of both sides
[tex]r = 2.9cm[/tex]