Question

A cylindrical metal pipe has external diameter of 6cm and internal diameter of 4cm. Calculate the volume of metal in a pipe of length 1 meter. If 1cm^3 of the metal has a mass of 8 grams, find the mass of the pipe.

Answer 1

Answer:

12.56 Kg

Step-by-step explanation:

Given Problem:

A cylindrical metal pipe has external diameter of 6cm and internal diameter of 4 cm. Calculate the volume of metal in a pipe of length 1 meter. If 1 cm³ of the metal has a mass of 8 grams, find the mass of the pipe.

Solution:

Cross section area is π(6/2)² – π(4/2)² = 9π – 4π = 5π cm²  

Volume of 100 cm of pipe is 100(5π) = 500π cm³  

Weight is 500π cm³ • 8 g/cm³ = 4000π g = 4π kg ≈ 12.56 kg