Answer :



Height (h1) of each conical part = 2 cm

Height (h2) of cylindrical part = 12 - 2 × Height of conical part


= 12 - 2 ×2


= 8 cm

Radius = Diameter/ 2

Radius (r) of cylindrical part = cm

Radius of conical part = cm


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


volume of cylinder = Πr2h


Volume of air present in the model = πr2h2 + 2 x r2h1


Volume of air present in the model = π ()2 (8) 2 x  ()2 (2)


= 18π + 3π


= 21π

= 21 × 22/7

= 3 × 22

= 66cm3


Hence, volume of air contained in the model that Rachel made = 66cm3

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