I'm stuck on this math problem, please help ASAP! I'm at a loss of time and the help is very much appreciated.

Question

The cost of painting a cylindrical iron metal container to make it rust-free is $0.02 per cm^2. Find the cost of painting 20 containers of radius 50 cm and height 80 cm.

Answer 1

The surface area of one cylinder must be calculated first.

The next step would be to multiply that value by 20 (the total number of containers)

and the final step would be to multiply that total surface area of all 20 containers by the cost per square centimeter.

Surface Area of a Cylinder can be found: 2(pi)rh + 2(pi)r² .

For this cylinder then with a radius of 50 cm and a height of 80 cm,

we have: 2(pi)(50)(80) + 2(pi)(50)²

This leads to a value of: 40840.7045 square cm

2.) Step 2 is to take the surface area (above) for each cylinder and multiply by 20 total cylinders:

40840.7045 times 20: 816,814.0899 square cm surface area for all 20 containers

3.) Final step!

Multiply total area needing to be painted by cost per square inch.

816,814.0899 times $0.02

$16,336.28

cost for all 20 cylinders to be painted

Note: if the value of "3.14" is used as an approximation for "pi" in the calculations, the process will be the same but the estimated value would end up as:$16,328

Answer 2

The surface area of the cylinder is 2πrh+2πr²

Multiply this value by the cost per cm² and this answer by 20.