# Cost of painting a vessel

• Amith2006
In summary, to find the total cost of painting a hollow steel hemispherical vessel with inner and outer radii of 2 cm and 3 cm respectively at a rate of 70 cents per cm², we need to calculate the total surface area of the vessel, including the rim, which is given by 2π([inner radius]² + [outer radius]² + PI([outer radius]^2 - [inner radius]^2)). Multiplying this by 0.7 will give us the total cost.

## Homework Statement

The inner and outer radii of a hollow steel hemispherical vessel are 2 cm and 3 cm respectively.what is the total cost of painting the vessel all over at the rate of 70 cents per cm² ?

[ b]2. Homework Equations [/b]
Curved surface area of hemisphere=2[pi]*[radius]²

## The Attempt at a Solution

total Surface area= 2[pi]*{[inner radius]² + [outer radius]²}
TOTAL cost = 0.7*total Surface area

is it right?

Yes, but you can't forget about the rim, with area PI ( [outer radius]^2 - [inner radius]^2 )

csprof2000 said:
Yes, but you can't forget about the rim, with area PI ( [outer radius]^2 - [inner radius]^2 )

u got a point.i was just falling short of the answer by an iota. Thanks buddy.

## 1. What factors affect the cost of painting a vessel?

The cost of painting a vessel can vary depending on several factors, such as the size and type of vessel, the condition of the current paint, the type of paint used, the complexity of the design, and the location of the vessel.

## 2. How much does it typically cost to paint a small boat?

The cost of painting a small boat can range from $500 to$1,500. However, this cost can increase if there are any repairs or additional prep work needed before painting.

## 3. Is it more expensive to paint a metal or fiberglass vessel?

In general, it is more expensive to paint a fiberglass vessel compared to a metal one. This is because fiberglass requires more preparation work, such as sanding and filling, before painting can begin.

## 4. How long does it take to paint a vessel?

The time it takes to paint a vessel can vary depending on the size and complexity of the project. However, on average, it can take anywhere from 1-2 weeks for a professional to paint a vessel.

## 5. Can I save money by painting the vessel myself?

While it may seem like a cost-saving option, painting a vessel yourself can actually end up costing more in the long run. Professional painters have the expertise, tools, and materials needed to ensure a high-quality and long-lasting paint job, which can save you money on potential repairs or touch-ups in the future.