IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 802 - 804 of 968

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Question number: 802

» Area, Surface Area & Volume

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MCQ▾

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.

281820

b.

125550

c.

281560

d.

225454

Question number: 803

» Area, Surface Area & Volume

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MCQ▾

Question

A hemispherical bowl is made of steel of thickness. The inner radius of the bowl is The volume of steel used is________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 804

» Triangle, Circle & Constructions

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MCQ▾

Question

In the given figure is tangent to the circle with center O. PBC is secant and AD bisects angle BAC. Triangle PAD is isosceles triangle, then is ________.

Triangle poly1 Triangle poly1: Polygon A, B, C Circle c Circle c: Circle through B_1 with center A_1 Angle? Angle? : Angle between B, A, D Angle? Angle? : Angle between B, A, D Angle? Angle? : Angle between D, A, C Angle? Angle? : Angle between D, A, C Segment f Segment f: Segment [P, C] Segment g Segment g: Segment [P, E] Segment d Segment d: Segment [A, B] of Triangle poly1 Segment f_1 Segment f_1: Segment [B, C] of Triangle poly1 Segment g_1 Segment g_1: Segment [C, A] of Triangle poly1 Segment h Segment h: Segment [A, D] Point P P = (-3.46,2.28) Point P P = (-3.46,2.28) Point P P = (-3.46,2.28) Point C Point C: Point on c Point C Point C: Point on c Point C Point C: Point on c Point A Point A: Point on g Point A Point A: Point on g Point A Point A: Point on g Point B Point B: Intersection point of c, f Point B Point B: Intersection point of c, f Point B Point B: Intersection point of c, f Point D Point D: Point on f Point D Point D: Point on f Point D Point D: Point on f

Circle and Tangent PA

PA is tangent to the circle with center O. PBC is secant and AD bisects angle BAC. Triangle PAD is isosceles triangle

Choices

Choice (4) Response

a.

b.

c.

d.