![]() ![]() Using Symbolic toolbox s = 6/r + 2*pi*r^2 set up polynom s1 = diff(s,1) take derivative solve(s1) find root of deriv pretty(ans) clean up rmin = double(solve(s1)) 0.7816 Smin = subs(s,r,0.7815926) 11.51 hmin = 3/(pi*rmin(1)^2) 1. Plotting S vs r r= S=6./r+2*pi*r.^2 plot(r,S) xlabel('r, m') ylabel('S, m^2') title('Surface area vs r for cylinder with Volume 3m^3') Based on your location, we recommend that you select. We want to find the r that minimizes S Choose a web site to get translated content where available and see local events and offers.We know: V= pr2h = 3 so h = 3/(pr2), S= 2prh + 2pr2 = 6/r + 2pr2 arbitrary symbolic functions - Symbolic math.Must hold 3 cubic meters of gasoline What is the smallest surface area that will hold 3 cubic meters? (will be cheapest to build) ![]() Design Problem: Surface area of a cylinder= S = rh + 2pr2 Volume of a cylinder = V= pr2h. ![]()
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