IMO- Mathematics Olympiad Class 10: Questions 725 - 727 of 889

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Question number: 725

» Area, Surface Area & Volume

MCQ▾

Question

If the radii of the circular ends of a conical bucket are 22cm and 5cm and the height is 40cm. The capacity of the bucket is________.

Choices

Choice (4) Response
a.

25939.04cm3

b.

52205.28cm3

c.

22850.28cm3

d.

25232.85cm3

Question number: 726

» Area, Surface Area & Volume

MCQ▾

Question

A right triangle, whose sides are 6cm and 2cm (other than hypotenuse) is made to revolve about its hypotenuse. The volume of the double cone so formed is ________.

Choices

Choice (4) Response
a.

52.43πcm3

b.

28.583πcm3

c.

32.43πcm3

d.

20.43πcm3

Question number: 727

» Triangle, Circle & Constructions

MCQ▾

Question

In the given figure, O is the center of the circle, then POR is ________.

Quadrilateral poly1 Quadrilateral poly1: Polygon O, P, Q, RCircle c Circle c: Circle through B_1 with center OSegment a_1 Segment a_1: Segment [O, P] of Quadrilateral poly1Segment c_1 Segment c_1: Segment [P, Q] of Quadrilateral poly1Segment d Segment d: Segment [Q, R] of Quadrilateral poly1Segment e Segment e: Segment [R, O] of Quadrilateral poly1Segment f Segment f: Segment [Q, O] Segment R_1 Segment R_1: Segment [P, R] Point O O = (0.3, 2.42) Point O O = (0.3, 2.42) Point O O = (0.3, 2.42) Point P Point P: Point on cPoint P Point P: Point on cPoint P Point P: Point on cPoint Q Point Q: Point on cPoint Q Point Q: Point on cPoint Q Point Q: Point on cPoint R Point R: Point on cPoint R Point R: Point on cPoint R Point R: Point on c

Quadrilateral and Circle

O is the center of the circle and quadrilateral PORQ

Choices

Choice (4) Response
a.

2[PRQ+QPR]

b.

2Q

c.

2P

d.

2R

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