IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 826 - 829 of 968

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Question number: 826

» Area, Surface Area & Volume

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Question

A cylindrical vessel of height and as the radius of the base, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is the radius of its base is________.

Choices

Choice (4) Response

a.

b.

23.76 cm

c.

d.

28.76 cm

Question number: 827

» Area, Surface Area & Volume

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Question

If the radii of the circular ends of a bucket of height are of lengths and , then the volume of the bucket in cubic centimeters, is________.

Choices

Choice (4) Response

a.

60060

b.

70040

c.

80160

d.

56980

Question number: 828

» Area, Surface Area & Volume

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A man runs around a circle of radius at a speed of The time taken by him for going around it fifteen times is ________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 829

» Triangle, Circle & Constructions

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In the given figure, ABCD is cyclic quadrilateral and EF is tangent to the circle with center ‘G’. AC is diameter, the ________.

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, D Circle c Circle c: Circle through B_1 with center G Angle? Angle? : Angle between E, B, A Angle? Angle? : Angle between E, B, A Angle? Angle? : Angle between E, B, A Angle? Angle? : Angle between A, C, D Angle? Angle? : Angle between A, C, D Angle? Angle? : Angle between A, C, D Segment c_1 Segment c_1: Segment [A, B] of Quadrilateral poly1 Segment d Segment d: Segment [B, C] of Quadrilateral poly1 Segment e Segment e: Segment [C, D] of Quadrilateral poly1 Segment f Segment f: Segment [D, A] of Quadrilateral poly1 Segment g Segment g: Segment [A, C] Vector u Vector u: Vector [B, F] Vector u Vector u: Vector [B, F] Vector v Vector v: Vector [B, E] Vector v Vector v: Vector [B, E] Point G G = (7.76, -0.34) Point G G = (7.76, -0.34) Point G G = (7.76, -0.34) Point A Point A: Point on c Point A Point A: Point on c Point A Point A: Point on c Point B Point B: Point on c Point B Point B: Point on c Point B Point B: Point on c Point C Point C: Point on c Point C Point C: Point on c Point C Point C: Point on c Point D Point D: Point on c Point D Point D: Point on c Point D Point D: Point on c Point F F = (10.78, -1.08) Point F F = (10.78, -1.08) Point F F = (10.78, -1.08) Point E E = (7.14,2.7) Point E E = (7.14,2.7) Point E E = (7.14,2.7)

ABCD is Cyclic Quadrilateral

ABCD is cyclic quadrilateral and EF is tangent to the circle with center ‘G’. AC is diameter, ∠ABE = 80°, ∠ACD = 40°

Choices

Choice (4) Response

a.

b.

c.

d.