IMO- Mathematics Olympiad Class 10: Questions 704 - 705 of 908

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Question number: 704

» Area, Surface Area & Volume

MCQ▾

Question

A cylindrical vessel of diameter 9cm is partly filled with water. 100 lead balls are dropped in it. The rise in water level is 0.2cm. The diameter of each ball is ________.

Choices

Choice (4) Response

a.

0.348cm

b.

0.404cm

c.

0.302cm

d.

0.802cm

Question number: 705

» Area, Surface Area & Volume

MCQ▾

Question

A sphere is placed in a cone of height 21cm as shown in figure. The volume of sphere if it touches lateral surface and base of cone is________.

Ellipse c Ellipse c: Ellipse with foci A, B passing through CEllipse c Ellipse c: Ellipse with foci A, B passing through CCircle d Circle d: Circle through H with center GAngle? Angle? : Angle between D, E, FAngle? Angle? : Angle between D, E, FAngle? Angle? : Angle between D, E, FSegment f Segment f: Segment [D, E] Segment g Segment g: Segment [E, F] Vector u Vector u: Vector [I, J] Vector u Vector u: Vector [I, J] Vector v Vector v: Vector [I, K] Vector v Vector v: Vector [I, K] Point D Point D: Point on cPoint D Point D: Point on cPoint E E = (7.42, 2.4) Point E E = (7.42, 2.4) Point F Point F: Point on cPoint F Point F: Point on cPoint G G = (7.46, -0.6) Point G G = (7.46, -0.6) 21 cm text1 = “21 cm”

a Sphere Is Placed in a Cone of Height 21 Cm

A sphere is placed in a cone of height 21 cm at angle 60 degree

Choices

Choice (4) Response

a.

13723πcm3

b.

25653πcm3

c.

12883πcm3

d.

18262πcm3

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