Water transfer between a cone and a cylinder

Water transfer between a cone and a cylinder

Secondary 2
TGM Original Questions

An inverted cone has radius 8 cm and height 24 cm. Water fills it to depth 16 cm. A second container is a cylinder of radius 5 cm containing a solid hemisphere of radius 2 cm resting on its base. Use \(\pi=3.142\).

  1. Find the cone curved area.
  2. Find water volume in the cone.
  3. Find water needed in the cylinder to just cover the hemisphere.
  4. If the hemisphere is melted into spheres of radius 0.5 cm, find the number made.

Solution:

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Answer:(a) \(635.90\text{ cm}^2\); (b) \(476.65\text{ cm}^3\); (c) \(140.34\text{ cm}^3\); (d) \(32\) spheres.

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