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Surface Areas and Volumes
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27/06/2021 12:38 pm
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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 aluminum 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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27/06/2021 12:39 pm
Height of cylinder = 12 – 4
= 8 cm
Radius = 1.5 cm
Height of cone = 2 cm
Now, the total volume of the air contained will be = Volume of cylinder + 2 × (Volume of cone)
∴ Total volume = πr2h + [2 × (1/3 πr2h )]
= 18 π + 2(1.5 π)
= 66 cm3.