# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 723 - 728 of 968

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## Question 723

### Question

MCQ▾is a line segment of length M is the mid-point of Circle are drawn with A, O and N as centers and radii (see figure) . The area of the colored portion (in ) is________.

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## Question 724

### Question

MCQ▾The decorative block shown in figure is made of two solids, a cube and a hemisphere. The base of the block is a cube with edge and the hemisphere fixed on the top has a diameter of . The total surface area of the block is________.

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## Question 725

### Question

MCQ▾If the radii of the circular ends of a conical bucket are and and the height is The capacity of the bucket is________.

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## Question 726

### Question

MCQ▾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 727

### Question

MCQ▾In the given figure, O is the center of the circle, then is ________.

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## Question 728

### Question

MCQ▾A cylindrical vessel of diameter is partly filled with water. 400 lead balls are dropped in it. The rise in water level is The diameter of each ball is ________.

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