IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 755 - 759 of 968
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Question number: 755
Question
A sphere of radius is dropped into a cylindrical vessel, partly filled with water. The radius of the vessel is If the sphere is submerged completely, then the surface of the water rises by________.
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Question number: 756
Question
What is the height of cylindrical tank?
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The volume of cylindrical tank
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The radius of the base is
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| a. | Only statement Ⅱ is sufficient, while others are not sufficient. |
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| b. | None of the statements are sufficient. |
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| c. | Either one of the statements is sufficient. |
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| d. | All of the statements are sufficient. |
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Question number: 757
Question
A bucket is in the form of a frustum of a cone, its depth is and the diameters of the top and the bottom are and respectively. Find how many liters the bucket can hold.
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Question number: 758
Question
Three solid metallic spheres of radii centimeters are melted to form a single solid sphere. The radius of the sphere so formed is ________.
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Question number: 759
Question
Three solid metallic spheres of radii centimeters are melted to form a single solid sphere. The radius of the sphere so formed is ________.
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