IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 703 - 705 of 968
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Question number: 703
» Triangle, Circle & Constructions
Question
Give below are the steps of construction of (without using the center of the circle radius) two tangents to the circle from point N.
Step I: Draw a line segment Take a point N outside the circle and draw a secant NOR, intersecting the circle at O and R.
Step II: Produce to to M such that draw a semi-circle with as diameter.
Step III: Draw intersecting the semi-circle at P. with N as center and MN as radius draw arcs to intersect the given circle at Q and Q’.
Step IV: Join NQ and NQ’. Then, NQ and NQ’ are the required tangents.
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Question number: 704
Question
A cylindrical vessel of diameter is partly filled with water. 100 lead balls are dropped in it. The rise in water level is The diameter of each ball is ________.
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Question number: 705
Question
A sphere is placed in a cone of height as shown in figure. The volume of sphere if it touches lateral surface and base of cone is________.
A Sphere is Placed in a Cone of Height 21 Cm
A sphere is placed in a cone of height 21 cm at angle 60 degree
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