Surface Area and Volumes (IMO- Mathematics Olympiad Class 9): Questions 15 - 20 of 104

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Question number: 15

» Surface Area and Volumes

MCQ▾

Question

The area of an isosceles triangle having base 32 cm and one side 20 cm is________

Choices

Choice (4) Response

a.

192cm2

b.

162cm2

c.

182cm2

d.

172cm2

Question number: 16

» Surface Area and Volumes

MCQ▾

Question

A circular park of 20 metre diameter has a circular path just inside the boundary of width 1 metre. The area of path is ________

Choices

Choice (4) Response

a.

21πm2

b.

19πm2

c.

15πm2

d.

17πm2

Question number: 17

» Surface Area and Volumes

MCQ▾

Question

A covered wooden box has the inner measures as 115 cm, 75 cm, 35 cm and the thickness of wood is 2.5 cm. Then the volume of the wood is________

Choices

Choice (4) Response

a.

80, 000 cu. Cm

b.

82, 125 cu. Cm

c.

85, 000 cu. Cm

d.

84, 000 cu. Cm

Question number: 18

» Surface Area and Volumes

MCQ▾

Question

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.

15.33 cm

d.

40.33 cm

Question number: 19

» Surface Area and Volumes

MCQ▾

Question

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.

3.51 cm

c.

2.26 cm

d.

3.94 cm

Question number: 20

» Surface Area and Volumes

MCQ▾

Question

A cone and a hemisphere have the same height and same radius of the base. The ratio between the volumes of the cone and the hemisphere is ________

Choices

Choice (4) Response

a.

3:2

b.

2:1

c.

1:2

d.

2:3

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