Mensuration of a Composite Solid: Hemisphere Minus Cone

Mensuration of a Composite Solid: Hemisphere Minus Cone

Secondary 2

A solid is formed by removing a cone from a hemisphere of diameter \(60\) cm. The base diameter of the cone is found to be half that of the hemisphere’s.

  1. Find the radius of the cone.
  2. Find the volume of the cone removed.
  3. Find the total surface area of the cone.
  4. A painter wanted to paint the total surface area of the remaining solid. Find the total area that need to be painted.

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Answer:(a) \(15\text{ cm}\) (b) \(7070\text{ cm}^3\) (c) \(2290\text{ cm}^2\) (d) \(9360\text{ cm}^2\)

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