IMO- Mathematics Olympiad Class 9: Questions 293 - 298 of 919

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Question number: 293

» Surface Area and Volumes

MCQ▾

Question

A solid consists of a circular cylinder with an exact fitting right circular cone placed on the top. The height of a the cone is h. If the total volume of the solid is three times the volume of the cone, then the height of the cylinder is ________

Choices

Choice (4) Response

a.

3h2

b.

2h

c.

4h

d.

2h3

Question number: 294

» Surface Area and Volumes

MCQ▾

Question

The area of rhombus is 36cm2 and one of its diagonals is 8 cm. Its perimeter is ________

Choices

Choice (4) Response

a.

153cm

b.

4145cm

c.

2145cm

d.

140cm

Question number: 295

» Triangles and Circles

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Angle

b.

Perpendicular bisectors

c.

Medians

d.

Triangle

Question number: 296

» Surface Area and Volumes

MCQ▾

Question

216 plastic balls each of radius r are melted together to from one big sphere of radius R. then the ratio of surface area of the big sphere to that of a ball is ________

Choices

Choice (4) Response

a.

36

b.

27

c.

9

d.

3

Question number: 297

» Surface Area and Volumes

MCQ▾

Question

The base and height of the triangle are in the ratio 4:6 . The area of the triangle is 108cm2 , then height of triangle = ________

Choices

Choice (4) Response

a.

20 cm

b.

22 cm

c.

18 cm

d.

19 cm

Question number: 298

» Surface Area and Volumes

MCQ▾

Question

The area of a square and a rectangle are equal. The side of square is 12 cm and the length of rectangle is 16 cm. the perimeter of the rectangle is ________

Choices

Choice (4) Response

a.

25 cm

b.

50 cm

c.

75 cm

d.

144 cm

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