Question

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.)

Answer 1

Volume of cylinder, V = πr²h 

= π × (1.5)² × 8 

= 18π cm³ . 

Volume of Cylinder V = \(\frac{1}{3}\)πr²h

∴ The volume of air contained in the model that Rachel made.