SOLUTION: 500cylindrical cans without top lids and each 14cm high with dianeter 8cm are to be made from a sheet of metal .find in meter square the total area that need to be painted external

Question 986679: 500cylindrical cans without top lids and each 14cm high with dianeter 8cm are to be made from a sheet of metal .find in meter square the total area that need to be painted externally??

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
For just ONE single can we calculate

Area of bottom = pi*r^2 = pi*4^2 = 16pi

Lateral Area = 2pi*r*h = 2pi*4*14 = 112pi

Total external area = (area of bottom) + (lateral area) = 16pi + 112pi = 128pi square meters

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There are 500 cans, so the total external area is 500*128pi = 64,000pi square meters

64,000pi = 64,000*3.14 = 200,960 (this is approximate)

So we need to paint approximately 200,960 square meters of metal.
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