Hollow Hemisphere: Surface Area and Volume

Hollow Hemisphere: Surface Area and Volume

TGM Original

A hollow hemispheric container has an external radius of \(15\) cm and an internal radius \(12\) cm.

Given that \(\pi =3.142\),

  1. find the total surface area of the container.
  2. find the volume of the container.
  3. If the hemispheric container is melted and recast into small cubes of length \(2\) cm on each side. Find the maximum number of cubes which can be made.

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Answer:(a) \(2570\text{ cm}^2\) (b) \(3450\text{ cm}^3\) (c) \(431\) cubes

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