Question

A standard size can of Diet Coke holds 71.79 cubic inches of soda. The can measure 4.87 inches in height. Determine the diameter of the can.

diameter= in

Answer 1

4.33 in

Explanation:

Taking the can to be cylindrical then its volume is given by

`V=\frac {\pi h d^(2)}{4}`

Making d the subject then

`d=\sqrt {\frac {4V}{\pi h}}`

Where V represent volume, d is the diameter and h is the height. Substituting 71.79 in³ for V and 4.87 in for h then

`d=\sqrt {\frac {4*71.79}{\pi *4.87}}=4.33234022803439\approx 4.33`

Therefore, the diameter is approximately 4.33 inches