An Artisan has 63kg of metal of density 7000kg/m^2. He intends to make a rectangular pipe with external dimension12cm by 15cm and internal dimension 10cm by 12cm. Calculate the length of pipe in meters
Question
An Artisan has 63kg of metal of density 7000kg/m^2. He intends to make a rectangular pipe with external dimension12cm by 15cm and internal dimension 10cm by 12cm. Calculate the length of pipe in meters
Solution
Sure, here's how to solve this problem:
Step 1: Calculate the cross-sectional area of the pipe. The cross-sectional area of the pipe is the difference between the external and internal areas.
The external area is 12cm * 15cm = 180 cm^2. The internal area is 10cm * 12cm = 120 cm^2.
So, the cross-sectional area of the pipe is 180 cm^2 - 120 cm^2 = 60 cm^2.
Step 2: Convert the cross-sectional area to m^2. 1 cm^2 = 0.0001 m^2, so 60 cm^2 = 60 * 0.0001 m^2 = 0.006 m^2.
Step 3: Calculate the volume of the metal. The volume of the metal is the mass divided by the density.
So, the volume is 63kg / 7000kg/m^3 = 0.009 m^3.
Step 4: Calculate the length of the pipe. The length of the pipe is the volume of the metal divided by the cross-sectional area of the pipe.
So, the length is 0.009 m^3 / 0.006 m^2 = 1.5 m.
Therefore, the artisan can make a pipe of 1.5 meters long.
Similar Questions
A metal pipe 3 metre long was found to weigh 7.6kg. What would be the weight ofthe same kind of 7.8m long pipe?
Find the cost of painting the outer surface of a hollow cylindrical pipe of radius 2 m andheight 21 m at the rate of ` 5 per m2.
A plumber bought some pieces of copper and plastic pipe. Each piece of copper pipe was 2 metres long and each piece of plastic pipe was 3 metres long. He bought 7 pieces of pipe. The total length of the pipe was 19 metres. How many pieces of each type of pipe did the plumber buy?
From each end of a solid metal cylinder, metal was scooped out in hemispherical form of same diameter. The height of the cylinder is 10 cm and its base is of radius 4.2 cm. The rest of the cylinder is melted and converted into a cylindrical wire of 1.4 cm thickness. Find the length of the wire. [Use pi = 22/7 * J
Oil, of density 889 kg/m3 and kinematic viscosity 5.68 x 10-5 m2/s, flows through a pipe 6 cm internal diameter at a mass flow rate of 83.2 kg/s.Determine the volumetric flow rate (m3/s).
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.