SOLUTION: A hollow cylindrical pipe is made of copper. The volume of the metal used in the pipe is 748cu.cm. Its external radius is 9 cm and length is 14 cm. Find the thickness of the pipe.

Question 185572: A hollow cylindrical pipe is made of copper. The volume of the metal used in the pipe is 748cu.cm. Its external radius is 9 cm and length is 14 cm. Find the thickness of the pipe.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
One approach to this problem is to imagine that the copper pipe is split down its length and laid open to give you a rectangular prism whose height is the same as the length of the pipe (14cm) and whose length is the same as the outside circumference of the copper pipe () and the width is the thickness of the copper pipe which can be expressed in terms of the difference of the external radius and the internal radius ().
The volume of such a prism is given by:
where: , , and h = 14cm.
Substituting V = 748, we get:
Simplifying this:
Divide both sides by

The thickness of the copper pipe is 0.945cm
RELATED QUESTIONS
Find the volume of the metal used in a hollow cylinder open at both ends whose external... (answered by lwsshak3)

a cylindrical drain pipe has internal and external diameter of 6.4cm and 7.6cm,... (answered by ikleyn)

A hollow sphere is made of metal 1.5cm thick and has an external diameter of 22cm.... (answered by josgarithmetic)

If a metal pipe 10m long has an external diameter of 12cm and a thickness of 1cm, find... (answered by ikleyn)

The radius of a pipe 5cm and its thickness is 6mm. What is the external circumference of... (answered by addingup,ikleyn)

A cylindrical mettalic pipe is 21cm long.The difference between outside and inside... (answered by josmiceli)

a hollow metal sphere has an internal radius of 20 cm and an external radius of 30 cm... (answered by stanbon)

a metal pipe has thickness 3 cm and outer radius 10 cm. find the volume of metal required (answered by Cromlix)

A metal pipe of length 35cm .The internal and external diameters of the pipe are 20mm and (answered by josgarithmetic,ikleyn)