Question 758286: Show a cylinderical casting of height 8cm and external and internal diameters 9cm and 5cm respectively.calculate the volume of metal on the casting
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! I assume that means an 8-cm long piece of pipe, with external and internal diameters 9cm and 5cm respectively, without a cover on either end.
Its volume would be
the volume of a solid cylinder, 8-cm tall, with a diameter of 9 cm,
minus the volume of a solid cylinder, 8-cm tall, with a diameter of 5 cm.
The volume of a cylinder is the area of the base, times the height.
The area of the cicular base is  times the square of the radius
Putting it all together, for a cylinder,
 , where
 = radius of the cylinder =  , and
 = height of the cylinder
The volume of the outside cylinder (in  ) is  .
The volume of the inside cylinder (in ) is  .
The volume of the piece of pipe (in ) is
 = about  .
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