Mathematics: 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

A standard size can of Diet Coke holds 71.79 cubic

chaofails

23.01.2022

4.33 in

Step-by-step 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

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