The Inner and outer diameter of a cylinder pipe is 24cm and 28cm and length of pipe is 35cm. Find the mass of the pipe if 1cm² weight 5g
Answers
Answer:
Thus, the mass of the wooden pipe is 3.432 kg
Step-by-step explanation:
Solution:
Since the cylindrical wooden pipe is made up of two concentric circles at the top and bottom, we will find the volume of both cylinders.
The volume of a cylinder of base radius, r, and height, h = πr2h
The volume of wood can be obtained by finding the difference between the volumes of both the outer and inner cylinders.
Outer diameter of the pipe = 28 cm
Outer radius of the pipe, R = 28/2 = 14 cm
Inner diameter of the pipe = 24 cm
Inner radius of the pipe, r = 24/2 = 12cm
Length of the pipe, h = 35 cm
Volume of the outer cylinder, V1 = π R2 h
V1 = 22/7 × 14cm × 14cm × 35cm
= 21560 cm3
Volume of the inner cylinder, V2 = πr2h
V2 = 22/7 × 12cm × 12cm × 35cm
= 15840 cm3
The volume of the wood used = Volume of the outer cylinder – Volume of the inner cylinder
= 21560 cm3 - 15840 cm3
= 5720 cm3
Mass of 1 cm3 wood is 0.6 g
Mass of 5720 cm3 wood = 5720 × 0.6g
= 3432 g
= (3432/1000) kg
= 3.432 kg
Thus, the mass of the wooden pipe is 3.432 kg