Volume and Melting Application of a Composite Solid

Volume and Melting Application of a Composite Solid

Secondary 2

A metal structure formed by a cone of radius \(15\) cm and height \(34\) cm and a cylindrical base of the same radius and height \(h\) cm is shown below.

  1. Given that the volume of the structure is \(15080\) cm\(^{3}\), find the height, \(h\) cm of the cylindrical base.
  2. The solid is melted and recast into \(30\) identical hemispherical shapes. Find the radius of each hemisphere.

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Answer:(a) \(10.0\text{ cm}\) (b) \(6.21\text{ cm}\)

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