Question 1 :
A conical flask of base radius r and height h is full of milk. The milk is now poured into acylindrical flask of radius 2r. What is the height to which the milk will rise in the flask?
Question 2 :
The total surface area of a frustum of cone is calculated by using the formula _________.
Question 3 :
The volume of a frustum of cone is calculated by using the formula ______.
Question 4 :
The diameter of a metallic sphere is $6 cm$. It was melted to make a wire of diameter $4 mm$. Find the length of the wire.
Question 5 :
If a solid of one shape is converted to another, then the volume of the new solid<br>
Question 6 :
Liquid kerosene fills a conical vessel of base radius $2$ cm. and height $3$ cm. This liquid leaks through a hole in the bottom and collects in a cylindrical jar of radius $2$ cm. The total height of kerosene after all of it is collected in the cylindrical jar is -<br/>
Question 7 :
How many cubes of $10\ cm$ edge can be put in a cubical box of $1\ m$ edge?
Question 8 :
The dimensions of a room are $10\ m\times 8\ m\times 3.3\ m$. How many men can be accommodated in this room if each man requires $3m^3$ of space?
Question 9 :
A metallic solid cone is melted and cast into a cylinder of the same base as that of the cone. If the height of the cylinder is $7\;cm$, what was the height of the cone?
Question 10 :
Choose the correct answers from the alternatives given.<br>If a cone, a hemisphere and a cylinder stand on the same base and have height equal to the radius of the base, find out the ratio of their volumes.
Question 11 :
Find the slant height of a frustum cone whosetop radius is 12 m and bottom radius is 10 m. The height of the cone is 13 m.
Question 12 :
The surface area of a frustum cone is 2,400 m$^2$. The larger and smaller radius of the cone is 12 and 4 m. find its slant height. (Use $\pi$ = 3.14).
Question 13 :
The slant height of a right circular cone is $10\,m$ and its height is $8\,m$. Find the area of its curved surface.
Question 14 :
The surface area of the frustum cone is givenits base radius, R = 18 m and top radius, r = 9 m. The height of the cone is 12m. Find the slant height of the cone.
Question 15 :
4The volume of the frustum of a cone is $600 m$ <br> $^3$ and its height is $12 m$, bottom radius, $R = 2 m$. Find its top radius, $r$. (Use $\pi$ = 3.14). 
Question 16 :
Solid cylinders of equal volume are tightly packed in two layers in a rectangular box such that in each layer there are three rows of four such cylinders Find the percentage of volume of empty space in the box approximately.
Question 17 :
The ratio of radii of two cylinders is $1 : \sqrt {3}$ and heights are in the ratio $2 : 3$. The ratio of volumes is
Question 18 :
A tent is in the form of a cylinder of diameter 8 m and height 2 m, and mounted by a cone of equal base and height 3 m. The canvas used for making the tent is equal to
Question 19 :
A drum is in the shape of a frustum of a cone. Its top and bottom radii are $20$ ft and $10$ ft respectively. Its height is $15$ ft. It is fully filled with water. This water is emptied into a rectangular tank. The base of the tank has the dimensions $100$ ft $\times 50$ ft. Find the rise in the height of the water level in the tank.
Question 20 :
A conical vessel of radius $12 cm$ and depth $16 cm$ is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the inner curved surface of the vessel, it is just immersed up to the topmost point of the sphere. How much water over flows out of the vessel out of the total volume $V$ cubic units?
