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I need help in solving this

I Need Help In Solving This class=

Sagot :

olemakpadu
Admire the shape and you notice:

Total Surface Area =  (2* Surface area of cylinder) + (2* Area of Trapezium) + (2* Area of Rectangle without circles) + (Area of small Rectangle at the top) + (Area of big Rectangle at Bottom).

Area of cylinder =  πrh + πr^2. 
Diameter = 18m,  r = 18/2 = 9m,  h = long = 26m    π = 3.14
Substituting =  3.14 * 9* 26 + 3.14*9*9 = 989.1  m2.  Using a calculator.

Area of Trapezium = 1/2 * (Sum of parallel sides) * height
                            = 1/2  * ( 48 + 62) * 40
                             = 1/2  * ( 110) * 40 = 110 *20 = 2200 m2.

Area of rectangle without circle =  Area of rectangle - Area of circle from cylinder
                               =  (42*34) - (3.14*9*9) = 1428 - 254.34 = 1173.66 m2.

Area of small rectangle at the top = 48 * 34  = 1632 m2

Area of Big rectangle at bottom = 62 * 34 = 2108 m2.


Using the stated formula above:
Total surface area of composite = 2*989.1 + 2*2200 + 2*1173.66 + 1632 + 2108
                                              = 1978.2+ 4400 + 2347.32 + 1632 + 2108 
Using your calculator

Total surface area = 12 465.52 m2.                                         

Cheers.


FirstSineOfMadness
Sorry this is so late, I had done out all my work a couple minutes after the question was asked but was unable to answer until now due to technical difficulties.
I also got a different number than the other answered, so here's mine:

Area of the small base of the trapezoid:
48*34=1632
Area of the larger base:
62*34=2108
Area of the top and bottom of the figure:
(62+48)/2*40=2200*2=4400
The space on the remaining sides that are covered by the cylinders is made up for by the ends of the cylinders themselves, so it is just
42*34=1428*2=2856
The remaining surface area of the cylinders is 2pi*r*h
2pi*9*26=468pi*2=936pi
Totaling the numbers without pi gets 10996
Add 936pi (about 2940) to that to get 13936
Final answer: about 13936 m^2
Again, sorry the answer is so late, I was unable to submit it earlier.
I just thought I should add my input in case it is needed.
Hope I helped :)
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