Mensuration of a Composite Solid: Hemisphere Minus Cone
Mensuration of a Composite Solid: Hemisphere Minus Cone
TGM Original
The diagram shows a solid in the shape of a hemisphere with a hollow cone at its centre. The radius of the hemisphere is \(15\) cm. The cone has a base diameter of \(10\) cm, height of \(12\) cm and slant height of \(l\) cm.
Find
- the value of \(l\),
- the volume of the solid,
- the total surface area of the solid.
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Answer:(a) \(13\text{ cm}\) (b) \(6750\text{ cm}^3\) (c) \(2250\text{ cm}^2\)
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