Final answer:
To find the total cost of painting the vessel all over, calculate the surface area of the vessel and multiply it by the cost per 1 cm² of surface area.
Step-by-step explanation:
To find the total cost of painting the vessel all over, we need to calculate the surface area of the vessel and then multiply it by the cost per 1 cm² of surface area.
The vessel is a hollow hemisphere, so we need to find the difference between the surface areas of the outer and inner hemispheres. The formula for the surface area of a hemisphere is given by 2πr², where r is the radius.
Since we are given the diameters of the vessel, we can calculate the outer and inner radii. Then, we can subtract the surface area of the inner hemisphere from the surface area of the outer hemisphere to find the total surface area of the vessel. Finally, we can multiply this by the cost per 1 cm² to find the total cost of painting the vessel all over.