Respuesta :

Answer:

The radius of the cylinder is approximately 5.5 cm.

Step-by-step explanation:

Given,

Volume of the cylinder = [tex]950\ cm^3[/tex]

Height of the cylinder = [tex]10\ cm[/tex]

Solution,

Let the radius of the cylinder be r.

Now, according to the formula of volume of cylinder;

[tex]volume = pi\times radius^2\times height[/tex]

On substituting the given values, we get;

[tex]950=pi\times r^2\times 10\\950=3.14\times r^2\times10\\r^2=\frac{950}{3.14\times10}\approx30\\r=\sqrt{30}\approx5.5\ cm[/tex]

Thus the radius of the cylinder is approximately 5.5 cm.