Question

A can of beans has a surface are of 372cm2. It’s height is 16 cm. What is the radius of the circular top?Hint: the surface are consist of the circular top and bottom and a rectangle that represents the side cut open vertically and unrolled.

Answer 1

We wil determine the radius as follows:

Since we are understanding the area as if the shape were cut and laid in a rectangle, then the area wiill be given by the height times the circumference, that is:

`A=h\cdot c\Rightarrow A=h\cdot2\pi r`

So:

`372=16\cdot2\pi r\Rightarrow372=32\pi r`
`\Rightarrow r=(93)/(8\pi)\Rightarrow r\approx3.70`

So, the radius of the circular top is 93 / 8pi centimeters, that is approximately 3.70 centimeters.