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 ?