ANSWER
D. 4 cm
EXPLANATION
The volume of the sphere is given as 34 cm^3
The volume of a sphere can be calculated using:
[tex]V\text{ = }\frac{4}{3}\pi\cdot r^3[/tex]We need to find the radius first. We have:
[tex]\begin{gathered} 34\text{ = }\frac{4}{3}\cdot\pi\cdot r^3 \\ \text{Collect like terms:} \\ \frac{34\cdot\text{ 3}}{4\cdot\text{ }\pi}=r^3 \\ \Rightarrow r^3\text{ = 8.12} \\ r\text{ = }\sqrt[3]{8.12} \\ r\text{ = 2.009 cm} \end{gathered}[/tex]The diameter is twice is the value of the radius, so:
D = 2 * r
D = 2 * 2.009
D = 4.018 cm
Approximately, the diameter is 4 cm.