Volume and Surface Area of Cylinder

Volume and Surface Area of Cylinder

TGM Original Questions

A cake of three layers can be deemed as three cylinders that stack together, such that the diameter of each layer from top to bottom is \(9\) cm, \(12\) cm and \(15\) cm, respectively, and the height of each layer from top to bottom is \(5\) cm, \(5\) cm and \(8\) cm, respectively. Find

  1. the total surface area of the cake, and
  2. the volume of the cake.
  3. Given that \(9\) people are to share the cake equally, find the volume of cake each person gets.

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Answer:(a) \(1060\text{ cm}^2\) (b) \(2300\text{ cm}^3\) (c) \(255\text{ cm}^3\)

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