Question

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?

Answer 1

The radius of the container is 2 centimeter

Solution:

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:

`\text {volume of cylinder }=\pi r^(2) h`

Where "r" is the radius of cylinder

"h" is the height of cylinder and
`\pi` is constant has value 3.14

Substituting the values in formula, we get

`\begin{array}{l}{125.6=3.14 * r^(2) * 10} \\\\ {r^(2)=(125.6)/(31.4)} \\\\ {r^(2)=4}\end{array}`

Taking square root on both sides,

`r = √(4)\\\\r = 2`

Thus the radius of the container is 2 centimeter