Water transfer between a cone and a cylinder
Water transfer between a cone and a cylinder
Secondary 2
8 marks
TGM Original Questions
Optional extension
An inverted cone has radius 8 cm and height 24 cm. Water fills it to depth 16 cm. A second container is a cylinder of radius 5 cm containing a solid hemisphere of radius 2 cm resting on its base. Use \(\pi=3.142\).
- Find the cone curved area.[2]
- Find water volume in the cone.[2]
- Find water needed in the cylinder to just cover the hemisphere.[2]
- If the hemisphere is melted into spheres of radius 0.5 cm, find the number made.[2]
Solution:
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Answer:(a) \(635.90\text{ cm}^2\) (b) \(476.65\text{ cm}^3\) (c) \(140.34\text{ cm}^3\) (d) \(32\) spheres.
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