Question
A soft drink can has a diameter of 6 cm and a height of 11.5 cm. How much aluminum is used to make the can.
Asked by: USER8965
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110 Answers
Answer (110)
if the can has a diameter of 6 cm, then it's radius is half that, or 3 cm.
[tex]\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\ -----\\ r=3\\ h=11.5 \end{cases}\implies SA=2\pi (3)(11.5+3) \\\\\\ SA=6\pi (14.5)\implies SA=87\pi [/tex]
[tex]\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\ -----\\ r=3\\ h=11.5 \end{cases}\implies SA=2\pi (3)(11.5+3) \\\\\\ SA=6\pi (14.5)\implies SA=87\pi [/tex]