What is the surface area of the composite figure Use 314 for
What is the surface area of the composite figure? Use 3.14 for Pi. Round your answer to the nearest tenth.
Solution
figure represent a solid cylinder cut into half:
curved surface = (2pi*r*l)/2 = pi*3*9 = 27pi m^2
Two semi circle on both ends = pir^2/2 +pir^2/2 = pir^2 =pi*(3)^2 = 9pi m^2
Now we have a rectangle on base = 9*6 = 54 m^2
There is cuboid of length 9mt width = 6mt and height = 0.5 mt
So, total surface area = 2(0.5*6) + 2(9*6) = 114 mt
Total Surface Area = 27pi + 9pi + 54 +114 = 36pi +168 = 36*3.14+168 = 281 mt^2
