Question 955610
How many square inches of metal are needed to make a soup can that is 2 2/3 in. in diameter and 4 in. high? The answer is (128 pi)/9 in. I'm not sure how to get to that answer. Thank you!!!!
<pre>Radius of can: {{{(2&2/3)/2}}}______{{{(8/3)/2}}}______{{{4/3}}}
Area of top and bottom: {{{2 * pi * r^2}}}______{{{2* pi * (4/3)^2}}}_____{{{2 * pi * (16/9)}}}______{{{(32 * pi)/9}}}

Lateral area of right circular cylinder (can): {{{pi * D * h}}}______{{{(2&2/3)*4*pi}}}______{{{(8/3)*4*pi}}}______{{{32*pi/3}}}

Area of metal needed: {{{(32*pi)/9 + (32*pi)/3}}}, or {{{(32*pi)/9 + (96*pi)/9}}}, or {{{highlight_green((128*pi)/9)}}} sq inches.