Final Answer:
The cost of coloring the surface of both pillars is Rs 3,878,500.
Step-by-step explanation:
To calculate the cost of coloring the surface, we first find the total surface area of both pillars. Each pillar consists of a cylindrical part and a hemispherical top. The surface area of a cylinder is given by the formula 2πr_h * (r_c + h_c), where r_h is the radius of the hemisphere, r_c is the radius of the cylinder, and h_c is the height of the cylinder. The surface area of a hemisphere is (2/3)πr_h^2, where r_h is the radius.
Given the height of each pillar is 9.96 m and the height of each cylindrical part is 9.75 m, the radius of the hemisphere (r_h) is half of the total height difference, i.e., (9.96 - 9.75)/2 = 0.105 m. The radius of the cylinder (r_c) is the same as the radius of the hemisphere.
Now, we can calculate the total surface area of both pillars and then multiply it by the cost of coloring per square meter (Rs 500) to get the final answer.