Question

Find the height of a soup can if the area of the label is 302 square centimeters and the radius of the can is 4 centimeters

Answer 1

`\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ SA=302\\ r=4 \end{cases}\implies 302=2\pi (4)(h+4) \\\\\\ 302=8\pi (h+4)\implies \cfrac{302}{8\pi }=h+4\implies \cfrac{302}{8\pi }-4=h\implies 8.016\approx h`