IMO- Mathematics Olympiad Class 10: Questions 755 - 758 of 958

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Question number: 755

» Area, Surface Area & Volume

MCQ▾

Question

A sphere of radius Equation is dropped into a cylindrical vessel, partly filled with water. The radius of the vessel is Equation If the sphere is submerged completely, then the surface of the water rises by________.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 756

» Area, Surface Area & Volume

Data Sufficieny▾

Question

What is the height of cylindrical tank?

Statements

  1. The volume of cylindrical tank Equation

  2. The radius of the base is Equation

Choices

Choice (4) Response

a.

Either one of the statements is sufficient.

b.

Only statement Ⅰ is sufficient, while others are not sufficient.

c.

All of the statements are sufficient.

d.

Only statement Ⅱ is sufficient, while others are not sufficient.

Question number: 757

» Area, Surface Area & Volume

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 758

» Area, Surface Area & Volume

MCQ▾

Question

Three solid metallic spheres of radii Equation centimeters are melted to form a single solid sphere. The radius of the sphere so formed is ________.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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