The radius of the container is 2 centimeter
Given that a container of candy is shaped like a cylinder
Given that volume = 125.6 cubic centimeters
Height of conatiner = 10 centimeter
To find: radius of the container
We can use volume of cylinder formula and obatin the radius value
The volume of cylinder is given as:
[tex]\text {volume of cylinder }=\pi r^{2} h[/tex]
Where "r" is the radius of cylinder
"h" is the height of cylinder and [tex]\pi[/tex] is constant has value 3.14
Substituting the values in formula, we get
[tex]\begin{array}{l}{125.6=3.14 \times r^{2} \times 10} \\\\ {r^{2}=\frac{125.6}{31.4}} \\\\ {r^{2}=4}\end{array}[/tex]
Taking square root on both sides,
[tex]r = \sqrt{4}\\\\r = 2[/tex]
Thus the radius of the container is 2 centimeter
