Volume of a Water Tank and Related Applications
Volume of a Water Tank and Related Applications
TGM Original
The following water tank is filled to the brim with water.
- Find the volume of water in the tank.
- All the water in the tank is poured into cylindrical cups of radius \(3\) cm and height \(3\) cm. Find the volume of one cup.
- Hence, find the minimum number of cups required to contain all the water in the tank.
- If the water in the tank is to fill up exactly \(4\) identical containers of uniform cross- sectional area of \(31.5\) cm\(^{2}\), find the height of one such container.
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Answer:(a) \(9700\text{ cm}^3\) (b) \(84.8\text{ cm}^3\) (3 s.f.) (c) \(115\) cups (d) \(77.0\text{ cm}\) (3 s.f.)
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