Volume and Surface Area of Composite Solids

Volume and Surface Area of Composite Solids

TGM Original Questions

The figure below shows a cup-shaped solid that is the remaining part of a cylinder, where a smaller cylinder is carved out. Given that the thickness of the lateral and the bottom of the cup are both \(2\) cm, and the height of the solid is \(15\) cm, find

  1. the total surface area of the solid,
  2. the volume that the solid contains, and
  3. the volume of the solid itself

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Answer:(a) \(1250\text{ cm}^2\) (b) \(827\text{ cm}^3\) (c) \(1160\text{ cm}^3\)

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