Lionel wants to paint a cylindrical hollow plastic pipe with a radius of 4 metres and a length of 20 metres. The surface area is 602.88. Given that 1 litre of paint will cover 12 square metres, determine the volume of
paint needed to be painted.
The formula for the surface area of a cylinder is:
2πrh + 2πr^2
where r is the radius, h is the length, and π is pi (approximately 3.14).
Substituting in the given values, we get:
2π(4)(20) + 2π(4^2) = 502.4 + 100.48 = 602.88
So the given surface area is correct.
To find the volume of paint needed, we need to divide the surface area by the amount of surface area that can be covered by 1 litre of paint:
602.88 ÷ 12 = 50.24 litres
Therefore, Lionel will need 50.24 litres of paint to cover the cylindrical hollow plastic pipe.
To determine the volume of paint needed to paint the cylindrical hollow plastic pipe, we first need to find the total surface area of the pipe.
The total surface area of a cylinder can be calculated using the formula:
A = 2πrh + 2πr²
Given that the radius (r) is 4 meters and the length (h) is 20 meters, we can substitute these values into the formula:
A = 2π(4)(20) + 2π(4)²
A = 160π + 32π
A = 192π
Now, we know that the surface area is 602.88 square meters. We can set up a proportion to find the volume of paint needed:
Surface area of pipe / Volume of paint = Paint coverage per square meter
602.88 / Volume = 1/12
To solve for the volume of paint needed, we rearrange the equation:
Volume = 602.88 / (1/12)
Volume = 602.88 * 12
Volume = 7234.56 cubic meters
Therefore, Lionel will need 7234.56 cubic meters of paint to paint the cylindrical hollow plastic pipe.