IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 742 - 745 of 968

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Question number: 742

» Triangle, Circle & Constructions

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Question

In is the median, than is________

Triangle poly1Triangle poly1: Polygon A, C, BSegment cSegment c: Segment [A, C] of Triangle poly1Segment aSegment a: Segment [C, B] of Triangle poly1Segment bSegment b: Segment [B, A] of Triangle poly1Segment fSegment f: Segment [A, D] Point AA = (-0.22,4.28) Point AA = (-0.22,4.28) Point AA = (-0.22,4.28) Point CC = (1.96,1.6) Point CC = (1.96,1.6) Point CC = (1.96,1.6) Point BB = (-2.24,1.6) Point BB = (-2.24,1.6) Point BB = (-2.24,1.6) Point DPoint D: Point on aPoint DPoint D: Point on aPoint DPoint D: Point on a

∆ABC with AD as Median

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Question number: 743

» Area, Surface Area & Volume

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A hemispherical bowl is made of steel of thickness. The inner radius of the bowl is The volume of steel used is________.

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Question number: 744

» Area, Surface Area & Volume

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A right triangle, whose sides are and (other than hypotenuse) is made to revolve about its hypotenuse. The volume of the double cone so formed is ________.

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Question number: 745

» Area, Surface Area & Volume

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A cylindrical vessel of height and as the radius of the base, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is the radius of its base is________.

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