(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 'em 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.)​

For the given statement first draw a diagram,

In this diagram, we can observe that

Height (h1) of each conical part =2 cm

Height (h2) of cylindrical part 12−2−2=8 cm

Radius (r) of cylindrical part = Radius of conical part = 23 cm

Volume of air present in the model = Volume of cylinder + 2× Volume of a cone 

=πr2h2+2×πr2h1

=π(23)2×8+2×31π(23)2(2)

=π×49×8+32π×49×2

Step-by-step explanation:

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.)

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step-by-step explanation: