a container of candy is shaped like a cylinder and has a volume of 125.6 cubic centimeters. If the heights of the container is 10 centimeters, what is the radius of the container?

The radius of the container is 2 centimeterSolution:Given that a container of candy is shaped like a cylinderGiven that volume = 125.6 cubic centimetersHeight of conatiner = 10 centimeterTo find: radius of the containerWe can use volume of cylinder formula and obatin the radius valueThe 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 3.14Substituting 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