# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 257 - 262 of 931

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## Question 257

### Question

MCQ▾

A cylindrical vessel 80 cm in diameter is partially filled with water. A sphere, 80 cm in diameter is gently dropped into the vessel. To what further height will water rise in the cylinder?

### Choices

Choice (4)Response

a.

30.33 cm

b.

53.33 cm

c.

40.33 cm

d.

15.33 cm

## Question 258

### Question

MCQ▾

A spherical ball of lead, 5 cm in diameter is melted and recast into two spherical balls. The diameter of one of these is 4 cm. The radius of the second ball is________

### Choices

Choice (4)Response

a.

2.51 cm

b.

2.26 cm

c.

3.51 cm

d.

3.94 cm

## Question 259

### Question

MCQ▾

In the figure, If and , then

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 260

### Question

MCQ▾

The point of concurrency of the angle bisectors of a triangle is called ________.

### Choices

Choice (4)Response

a.

Circumcentre

b.

Incentre

c.

Centroid

d.

Orthocentre

## Question 261

### Question

MCQ▾

From the adjoining figure, the value of x is ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 262

### Question

MCQ▾

Orthocenter of a triangle is the point of concurrency of its ________

### Choices

Choice (4)Response

a.

Medians

b.

Angle bisectors

c.

Altitudes

d.

Perpendicular bisectors