Answer:
The radius of the cylinder is approximately 5.5 cm.
Explanation:
Given,
Volume of the cylinder =
![950\ cm^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/navyahbbx66ats3brxoczm2xyb9gdrt8w1.png)
Height of the cylinder =
![10\ cm](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mjzkc6x1ri76gjsvq9xw1f9btdojavooek.png)
Solution,
Let the radius of the cylinder be r.
Now, according to the formula of volume of cylinder;
![volume = pi* radius^2* height](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3iuy50vnadoqu75fiwm0zhse7nolcg5zdf.png)
On substituting the given values, we get;
![950=pi* r^2* 10\\950=3.14* r^2*10\\r^2=(950)/(3.14*10)\approx30\\r=√(30)\approx5.5\ cm](https://img.qammunity.org/2020/formulas/mathematics/middle-school/b0q61ufnevbyuct55p92nmt32x9funij5u.png)
Thus the radius of the cylinder is approximately 5.5 cm.