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Understand the geometry of the flask and identify given dimensions.

Mathematics

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Step 1: Understand the geometry of the flask and identify given dimensions.
The flask consists of a frustum of a cone at the bottom and a cylinder at the top.
For the frustum:

  • Base diameter = 8.4 cm  ⟹  8.4 \text{ cm} \implies Base radius R=8.42=4.2 cmR = \frac{8.4}{2} = 4.2 \text{ cm}
  • Top diameter = 3.5 cm  ⟹  3.5 \text{ cm} \implies Top radius r=3.52=1.75 cmr = \frac{3.5}{2} = 1.75 \text{ cm}
  • Height of frustum Hf=8.4 cmH_f = 8.4 \text{ cm} For the cylindrical part:
  • Radius $r_c
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