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Maths Surface Areas and Volumes Medium

Two solid cones A and B are placed in a cylindrical tube as shown in Fig. 12.9. The ratio of their capacities…

Two solid cones A and B are placed in a cylindrical tube as shown in Fig. 12.9. The ratio of their capacities is 2:1. Find the heights and capacities of the cones. Also, find the volume of the remaining portion of the cylinder. (The cylindrical tube has length 21 cm and diameter 6 cm.)
21 cm 6 cm A B Fig. 12.9
Fig. 12.9 -- two cones A and B inscribed in a cylindrical tube.

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