IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 778 - 780 of 968

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Question number: 778

» Area, Surface Area & Volume

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Question

A bucket is in the form of a frustum of a cone, its depth is and the diameters of the top and the bottom are and respectively. Find how many liters the bucket can hold.

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 779

» Area, Surface Area & Volume

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MCQ▾

Question

The number of solid spheres, each of diameter that could be moulded to form a solid metal cylinder of height and diameter is________.

Choices

Choice (4)Response

a.

4.64

b.

3.55

c.

6.45

d.

5.22

Question number: 780

» Triangle, Circle & Constructions

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CD subtends at the center of the semi-circle. The sides SR and RT of a triangle RST meet the semicircle in C and D respectively. ST is the diameter of a semicircle. The is ________.

Triangle poly1Triangle poly1: Polygon P, Q, RTriangle poly2Triangle poly2: Polygon A, O, BArc dArc d: Semicircle through Q and RAngle?Angle? : Angle between A, O, BAngle?Angle? : Angle between A, O, BAngle?Angle? : Angle between A, O, BAngle?Angle? : Angle between A, Q, OAngle?Angle? : Angle between A, Q, OAngle?Angle? : Angle between A, Q, OAngle?Angle? : Angle between Q, A, OAngle?Angle? : Angle between Q, A, OAngle?Angle? : Angle between Q, A, OAngle?Angle? : Angle between B, R, OAngle?Angle? : Angle between B, R, OAngle?Angle? : Angle between B, R, OAngle?Angle? : Angle between O, B, RAngle?Angle? : Angle between O, B, RAngle?Angle? : Angle between O, B, RSegment cSegment c: Segment [P, Q] of Triangle poly1Segment bSegment b: Segment [R, P] of Triangle poly1Segment b_1Segment b_1: Segment [A, O] of Triangle poly2Segment b_1Segment b_1: Segment [A, O] of Triangle poly2Segment a_1Segment a_1: Segment [O, B] of Triangle poly2Segment a_1Segment a_1: Segment [O, B] of Triangle poly2Segment c_1Segment c_1: Segment [B, A] of Triangle poly2Segment fSegment f: Segment [C, D] Segment fSegment f: Segment [C, D] Segment gSegment g: Segment [F, G] Segment gSegment g: Segment [F, G] Rtext1 = “R”Ctext8 = “C”Stext2 = “S”Otext4 = “O”Ttext3 = “T”Dtext6 = “D”

Triangle and Semicircle

The sides SR and RT of a triangle RST meet the semicircle in C and D respectively. ST is the diameter of a semicircle. CD subtends 100 (degree) at the center of the semi-circle

Choices

Choice (4)Response

a.

b.

c.

d.

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