IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 775 - 777 of 968

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Question number: 775

» Area, Surface Area & Volume

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MCQ▾

Question

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

Choices

Choice (4)Response

a.

10 mins 35 secs

b.

20 mins 54 secs

c.

10 mins 42 secs

d.

12 mins 35 secs

Question number: 776

» Area, Surface Area & Volume

Edit
MCQ▾

Question

A sphere is placed in a cone of height as shown in figure. The volume of sphere if it touches lateral surface and base of cone is________.

Ellipse cEllipse c: Ellipse with foci A, B passing through CEllipse cEllipse c: Ellipse with foci A, B passing through CCircle dCircle d: Circle through H with center GAngle?Angle? : Angle between D, E, FAngle?Angle? : Angle between D, E, FAngle?Angle? : Angle between D, E, FSegment fSegment f: Segment [D, E] Segment gSegment g: Segment [E, F] Vector uVector u: Vector [I, J] Vector uVector u: Vector [I, J] Vector vVector v: Vector [I, K] Vector vVector v: Vector [I, K] Point DPoint D: Point on cPoint DPoint D: Point on cPoint EE = (7.42,2.4) Point EE = (7.42,2.4) Point FPoint F: Point on cPoint FPoint F: Point on cPoint GG = (7.46, -0.6) Point GG = (7.46, -0.6) 12 cmtext1 = “12 cm”

Circle Inside a Triangle

A sphere is placed in a cone of height12 cm. At angle 60 degree

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 777

» Area, Surface Area & Volume

Edit
Data Sufficieny▾

Question

What is the total surface area of the cone?

Statements

  1. The area of the base of the cone is

  2. The curved surface area of the cone is

  3. The volume of the cone is

Choices

Choice (4)Response

a.

Either one of the statements is sufficient.

b.

Either statement Ⅱ or statement Ⅲ is sufficient & only statement Ⅰ is sufficient, while others are not sufficient.

c.

All of the statements are sufficient.

d.

Both statement Ⅰ & statement Ⅲ are sufficient.

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