Question 1 :
The number of spherical bullets each $0.6$ cm in diameter be made out of a rectangular solid $9$ cm $\times$ $11$ cm $\times 12$ cm is __________.
Question 2 :
Radius and slant height of a solid right circular cone are in the ratio $3:5$. If the curved surface area is $60\pi sq.cm$, then find its total surface area.
Question 3 :
How many metres of cloth, $5$m wide, will be required to make a conical tent, the radius of whose base is $7$m and height is $24$m?
Question 4 :
A solid cylinder of glass whose diameter is 1.5 m and height 1 m is melted an recasted into a sphere then the radius of the sphere is
Question 5 :
Find the volume of the right circular cone with radius $6\ cm$, height $7cm$
Question 7 :
If the circumference of the inner edge of a hemispherical bowl is$\displaystyle \frac{132}{7}$cm then what is the capacity?
Question 8 :
Two cones $A$ and $B$ have their base $r$ in the ratio of $4:3$ and their heights in the ratio $3:4$ of ratio of volume of cone $A$ to that of cone.
Question 9 :
A cylindrical rod of iron whose height is four times its radius is melted and cast into the spherical balls of the same radius then the number of balls is
Question 10 :
The volume of a sphere of diameter 2p cm is given by
Question 11 :
There are two vessels - one is in the shape of a cylinder and the other in the shape of a right circular cone. Both the vessels have the same height and the same base radius. The cylindrical vessel and the conical vessel are filled with milk and water respectively and are both filled to half of their maximum heights. The cone is standing on its vertex. The contents of the conical vessel are emptied into the cylindrical vessel. What is the ratio of water to milk in the cylindrical vessel now -<br>
Question 12 :
A metal pipe has a bore (inner diameter) of $5$ cm. The pipe is $5$ mm thick all round. Find the weight, in kilogram of $2$ meters of the pipe, if $1$ $cm^{3}$ of the metal weights $7.7$ g.
Question 13 :
The radii of two sphere are in the ratio $3:4$. The ratio of their surface area is
Question 14 :
Find the ratio of the edge of a cube to the radius of a sphere, if the volume of the cube is equal to the volume of the sphere.