Test Details

Surface Areas and Volumes

Weekend Test

Jan 29, 12:10 PM

40 minutes

Jan 30, 10:00 AM

25.0 marks

MCQ

12 questions

Mahmoodul Hassan

I am here to change lives.

Class Details

Mathematics

Class 9

Mathematics

In this classroom we will cover the entire syllabus of Mathematics as prescribed by CBSE for standard 9. There would be weekly doubt clearing sessions along with biweekly assignments, periodic tests and many more.

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Question Text

Question 1 :
A right circular cone an and circular and a right cylinder have the same radius and the same volume. The ratio of the height of the cone to that of the cylinder is

Question 2 :
The radii of two spheres are in the ratio 3:5 The ratio of their volumes is

Question 3 :
The surface area of a sphere is$\displaystyle 5544cm^{2}$. Its volume is

Question 4 :
Find the weight of a solid cone whose base is of diameter $42\;cm$ and vertical height $20\;cm$, supposing that the material of which it is made weights $5$ grams per cubic centimetre.

Question 6 :
Diameter of a roller is $2.4\ m$ and it is $1.68\ m$ long. If it takes $1000$ complete revolutions once over to level a field then the area of the field is:

Question 7 :
The total surface area of a right cone is 880 $\displaystyle cm^{2}$ and the radius is 7$\displaystyle cm^{2}$ then the slant height is<br>

Question 9 :
A shpherical balloon is pumped, at the constant rate of $3m^{3}/min$. The rate of increasing of its surface area at certain instant is found to be $5m^{2}/min$. At this instant its radius is equal to:

Question 10 :
The height of a cone is $10 cm$. The cone is divided into two parts by drawing a plane through the midpoint of the axis of the cone, parallel to the base. Compare the volume of the two parts.

Question 11 :
A solid metal sphere of surface area $S_1$ is melted and recastinto a number of smaller spheres. $S_2$ is the sum of the surfaceareas of all the smaller spheres. Then,

Question 12 :
The barrel of a fountain pen, cylindrical in shape, is $7$ cm long and $5$ mm in diameter. A full barrel of ink in the pen will be used up on writing $330$ words on an average. How many words would use up a bottle of ink containing one fifth of litre ?

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