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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MCQ▾

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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Question

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 poly1Quadrilateral poly1: Polygon A, B, C, DCircle cCircle c: Circle through B_1 with center GAngle?Angle? : Angle between E, B, AAngle?Angle? : Angle between E, B, AAngle?Angle? : Angle between E, B, AAngle?Angle? : Angle between A, C, DAngle?Angle? : Angle between A, C, DAngle?Angle? : Angle between A, C, DSegment c_1Segment c_1: Segment [A, B] of Quadrilateral poly1Segment dSegment d: Segment [B, C] of Quadrilateral poly1Segment eSegment e: Segment [C, D] of Quadrilateral poly1Segment fSegment f: Segment [D, A] of Quadrilateral poly1Segment gSegment g: Segment [A, C] Vector uVector u: Vector [B, F] Vector uVector u: Vector [B, F] Vector vVector v: Vector [B, E] Vector vVector v: Vector [B, E] Point GG = (7.76, -0.34) Point GG = (7.76, -0.34) Point GG = (7.76, -0.34) Point APoint A: Point on cPoint APoint A: Point on cPoint APoint A: Point on cPoint BPoint B: Point on cPoint BPoint B: Point on cPoint BPoint B: Point on cPoint CPoint C: Point on cPoint CPoint C: Point on cPoint CPoint C: Point on cPoint DPoint D: Point on cPoint DPoint D: Point on cPoint DPoint D: Point on cPoint FF = (10.78, -1.08) Point FF = (10.78, -1.08) Point FF = (10.78, -1.08) Point EE = (7.14,2.7) Point EE = (7.14,2.7) Point EE = (7.14,2.7)

ABCD is Cyclic Quadrilateral

Choices

Choice (4)Response

a.

b.

c.

d.

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