# 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.

### Choices

Choice (4)Response

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d.

## 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

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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Choice (4)Response

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d.

## 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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Choice (4)Response

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d.

## 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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Choice (4)Response

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d.

## Question 783

### Question

MCQ▾

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

### Choices

Choice (4)Response

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b.

c.

d.