There are three cylindrical vases on the table, none of them is taller than 40 cm. The first vase can be filled with 2 dl of water, the second one with 3 dl, and the third with more than 6 dl water. The area of the cross section of the first vase is 10 cm^2, the area of the cross section of the other two vases is 20 cm^2. There is the same amount (volume) of water in each vase. It can be observed that if a specific tuning fork is placed just above the vases, its sound is getting louder. The width of the bottom of each vase is 1 cm, the speed of sound in air is 340 m/s, and the frequency of the tuning fork is less than 1 kHz. a) What is the volume of water in the vases? b) What is the frequency of the tuning fork? c) What is the height of the third vase?

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