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# Question A conical empty vessel is to be filled up completely by pouring water into it successively with the help of a cylindrical can of diameter 6 cm and height 12 cm. The radius of the conical vessel if 9 cm and its height is 72 cm. How many times will it required to pour water into the conical vessel to fill it completely, if in each time the cylindrical can is filled with water completely ?

#### Frequently Asked Questions

Find the roots of the following quadratic equations by factorisation

Solution:

Explanation:

We have to find the roots of the following quadratic equations by factorisation:

If two tangents inclined at an angle of 60º

are drawn to a circle of radius 3 cm, then length of each tangent (in cm) is equal to :

Solution:

Hence, the length of each tangent is3√3cm

Final Answer:

The length of each tangent is 3√3cm

A polynomial of degree ___ is called linear polynomial

A: 0

B: 2

C: 1

D: None of these

Solution:

Explanation:

The general form of linear polynomial is P(x)=ax+b where x is a variable  and b is a  constant.

The first term of this polynomial has power 1 and therefore, the degree of the polynomial is 1.

A  polynomial of degree 1 is called linear polynomial.

Final answer:-

Hence,. The correct option is (C)i.e.1.

The longest chord of a circle is called its

A: radius

B: secant

C: diameter

D: tangent

Solution:

Explanation:-

The longest chord of a circle is called its diameter.

It’s the chord that passes through the centre of the circle.

Final answer:-

Hence option (c)is correct.diameter

Find quadratic polynomial whose zeroes are 3 - 3

Solution:

Explanation:-

Final answer:-

The quadratic polynomial is x2-9 whose zeroes are: 3, - 3