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23. In the figure, a right circular cone C is cut by a plane parallel to its base into two parts X and Y. Y

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23. In the figure, a right circular cone C is cut by a plane parallel to its base into two parts X and Y. Y 3 cm Y 2 cm Explain (a) Jack claims that: (i) Volume of X : volume of Y = 33 : 23 (ii) Curved surface area of X : curved surface area of Y = 32 : 2 Do you agree? Explain your answer. (b) If the curved surface area of the circular cone X is 12 cm, find the curved surface area of Y. Example 20 main pontine AT er 24. The figure shows a vertical right conical vessel. It contains water of Explain 40 cm and the depth of water is 6 cm. Felix claims that if water of ed to 100 cm' is poured into the vessel, water will overflow. Do you agree. 9 cm Explain your answer. 6 cm , 1. 1 1 1, 25. In the figure, VABCD is a right rectangular pyramid. It is cut by a V plane parallel to its base into two parts VEFGH and ABCDEFGH. If the ratio of the areas of rectangles ABCD and FGHE is 4 : 1, and the G A H volume of VEFGH is 5 cm , find the volume of ABCDEFGH.)

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