The total surface area of an open cylinder can be used to determine the surface area required. This answer can now be used to determine the kilograms of paint needed which is 1.245 Kg.
The formula to determine the total surface area of an open cylinder is given as:
2[tex]\pi r^{2}[/tex] + [tex]\pi r[/tex]h =
where: r is the radius, and h is the height of the cylinder.
The radius of the cylinder is 30 cm (0.3 m), and its height is 28 cm (0.28 m). Then the total surface area can be calculated as follows:
Total surface area of one cylinder = [tex]\frac{22}{7}[/tex] x 0.3*(2*0.3 + 0.28)
                = 0.8297
The total surface area of one of the cylinders is 0.83 [tex]m^{2}[/tex].
Total surface area of the ten cylinders = 10 x 0.83
                          = 8.3 [tex]m^{2}[/tex]
Given that 150 g of paint would be required to paint an area of 1 [tex]m^{2}[/tex], the amount of paint (x) required for the ten cylinders would be:
x = 8.3 x 150 g
 = 1245 g
x = [tex]\frac{1245}{1000}[/tex]
 = 1.245 Kg
Therefore, the amount of paint required for the ten cylinders is 1.245 Kg.
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