Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same.)
Solution:
Diameter of Cylinder = Diameter of Cones = 3 cm
Radius of Cylinder = Radius of Cones
cm
Height of each cone
2 cm
Length of model = 12 cm
Height of Cylinder = h = Total Height of Model – Height of Ist Cone – Height of Second Cone
cm
Volume of air in the model = Volume of Solid = Volume of Cylinder + Volume of 1st Cone + Volume of 2nd Cone
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