anonymous
  • anonymous
a cylindrical container of V=450 is to be made of different material for bottom is R60per square metre, for curved side is R200per square metre and the lid is R160per square metre. what is the least cost of the container in rands?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
v = pi * (radius^3) r^3 = 450 / pi radius = \[\sqrt[3]{450/\pi}\]
anonymous
  • anonymous
v=450 cubic metre
amistre64
  • amistre64
surface area = pi r^2(R60) + pi r^2(R160) + 2pi r(R200)

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amistre64
  • amistre64
surface area = pi r^2(R60) + pi r^2(R160) + 2pi r(R200)(h) volume = pi r^2 (height) 450 = pi r^2 * h 450/pi r^2 = h ------------------------------ surface area = pi r^2(60) + pi r^2(160) + 2pi r(200)(450/pi r^2)
amistre64
  • amistre64
Sa = pi r^2(60+160) + 2.200.450/r Sa = pi r^2(220) + 180000/r Sa = (pi r^3(220) + 180000)/r Sa' = [660 pi r^3 - 220pi r^3 - 180000]/r^2 440 pir^3 - 180000 = 0 when..... r =abt. 2.363
amistre64
  • amistre64
err... r =abt. 5.07
anonymous
  • anonymous
yip and cost is R 53 268.91
amistre64
  • amistre64
the derivative is right; just gotta see if i can find a common answer for r lol
amistre64
  • amistre64
440 pir^3 = 180000 r^3 = 4500/11 pi r = cbrt(4500/11 pi) perhaps?
amistre64
  • amistre64
r = abt 5.07...thats good lol
amistre64
  • amistre64
450/[pi (5.07)^2] = h = abt 5.57
anonymous
  • anonymous
thanks everyone

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