# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 778 - 783 of 968

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## Question 778

### Question

MCQ▾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 779

### Question

MCQ▾The number of solid spheres, each of diameter that could be moulded to form a solid metal cylinder of height and diameter is________.

### Choices

Choice (4) | Response | |
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a. | 4.64 | |

b. | 3.55 | |

c. | 6.45 | |

d. | 5.22 |

## Question 780

### Question

MCQ▾CD subtends at the center of the semi-circle. The sides SR and RT of a triangle RST meet the semicircle in C and D respectively. ST is the diameter of a semicircle. The is ________.

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## Question 781

### Question

MCQ▾A cylindrical vessel of diameter 6 is partly filled with water. 200 lead balls are dropped in it. The rise in water level is The diameter of each ball is ________.

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## Question 782

### Question

MCQ▾Two circles of radii and intersect each other and length of common chord is The distance between their centres is________.

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## Question 783

### Question

MCQ▾A cuboidal metal of dimensions was melted and cast into a cylinder of height Its radius is________.

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