Question 1 : <p>Fill in theblank: The surface area of a frustum cone is measured in ______ units. </p>
Question 2 :
If the radii of the circular ends of a bucket of height $40cm$ are of lengths $35cm$ and $14cm$, then the volume of the bucket in cubic centimetres, is _________.
Question 3 :
Find the volume of a frustum cone, whose baseand upper area of a circle is 20 and 80 $m^2$. The height of the cone is 45.5 m.
Question 4 :
Given that the volume of a cone is$\displaystyle 2355cm^{3}$ and the area of its base is$\displaystyle 314cm^{2}$ Its height is
Question 5 :
A sphere and cube have equal surface areas. The ratio of their volumes is
Question 6 :
A vessel is in the form of a frustum of a cone. The area of the ends of the frustum cone are $122$ $cm^2$ and $205$ $cm^2$. If the curved surface area is $305$ $cm^2$. Find the total surface area.
Question 7 :
A bucket is in the shape of the frustum with the top and bottom circle area is $250$ and $150$ $m^2$. The height of the bucket is $27$ m. Find the volume.
Question 8 :
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 9 :
How many bricks, each measuring $25\ cm\times 11.25\ cm\times 6\ cm$, will be needed to build a wall $8\ m$ long, $6\ m$ high and $22.5\ cm$ thick?
Question 10 :
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 11 :
The total surface area of a metallic hemisphere is $1848\ cm^{2}$. The hemisphere is melted to form a solid right circular cone. If the radius of the base of the cone is the same as the radius of the hemisphere, its height is
Question 12 :
Find the volume of the frustum cone whose base and top radius is 12.4 ft and 4.5 ft respectively. The height of the cone is 1,200 ft. (Use $\pi$= 3).
Question 13 :
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 14 :
A metallic sphere of radius $10.5 cm$ is meltedand then recast into small cones each of radius$3.5 cm$and height$3 cm$. The number of suchcones is
Question 15 :
A solid metallic cube with edge $44$cm is melted and recast to produce small spherical balls of radius $2$cm. Then, _______ balls are produced.
Question 16 :
The curved surface area of frustum cone is 612 $mm^2$. The diameter of a top cone is 10 and the radius of the bottom cone is 4mm. Find the slant height. (Use $\pi$ = 3).
Question 17 :
The total surface area of a frustum of cone is calculated by using the formula _________.
Question 18 :
A$\displaystyle 5\times 5\times 5$ cube is formed by using$\displaystyle  1 \times  1 \times  1$ cubes if we add another layer of such $\displaystyle  1 \times  1 \times  1$cube in the $\displaystyle 5\times 5\times 5$ cube What will be the number of $\displaystyle  1 \times  1 \times  1$ cubes in the newly formed cube?
Question 19 :
Find the curved surface area of a frustum cone whose larger and smaller radius is 12.2 and 8.8 ft. The slant height is 5.2 ft. (Use $\pi$ = 3.14)
Question 20 :
The perimeter of the ends of a frustum of a cone are $44cm$ and $8.4\pi cm$. If the depth is $14cm$, then find its volume.
Question 21 :
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 22 :
A right circular cylinder and a right circular cone both having the same radius and height then the ratio of their volumes is
Question 23 :
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 24 :
A flower pot in the shape of a frustum with the top and bottom circles of radii $15$ cm and $10$ cm. Its depth is $36$ cm. Find the surface area.
Question 25 :
The base and top diameter of a cone is 1.2 mm and 0.5 mmrespectively. The height of the cone is 24 mm. What is the volume of frustum ofa cone? (Use $\pi$= 3).
Question 26 :
How many cubes of $10\ cm$ edge can be put in a cubical box of $1\ m$ edge?
Question 27 : <p>Calculate thevolume of a frustum cone :</p><p>Given D = 2 cm,d = 1 cm, h = 15 cm.</p>
Question 28 :
Find the volume of the frustum cone whose base and topradius is 11 in and 6 in respectively. The height of the cone is 36 in. (Use $\pi$= 3.14).
Question 29 :
The base and top radius of a cone is 36 cm and 16 cmrespectively. The height of the cone is 12.6 cm. What is the volume of frustumof a cone? (Use $\pi$= 3.14).<br><br>
Question 30 :
The volume of a frustum cone is 1,600 $mm^3$, whosebase and upper area of a circle is 16 and 100$mm^2$. Find the height of the cone.
Question 31 :
A frustum of a right circular cone of height $16$ cm with radii of its circular ends as $8$ cm and $20$ cm has its slant height equal to:<br/>
Question 32 :
A table lamp is in the shape of the frustum of a right circular cone whose curved area is $1200 m^2$ and the area of the base and top is $2400 m^2$. Find the total surface area of the frustum cone.<br/>
Question 33 :
Find the curved surface area of frustum coneradii 2.5 and 1.2 cm and a slant height 12.5 cm.
Question 34 :
The volume of a frustum cone is 560 $m^3$, whosebase and upper area of a circle is 90 and 10 $m^2$. Find the height of the cone.
Question 35 :
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 36 : <p>The surface areaof the frustum cone is given its base radius, R = 12 m and top radius, r = 9 m.The height of the cone is 4 m. Find the slant height of the cone.</p>
Question 37 :
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 38 :
Find the slant height of a frustum cone whosetop radius is 10 ft and bottom radius is 4 ft. The height of the cone is 8 ft.
Question 39 :
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 40 :
A hollow sphere of internal and external diameters 4$\mathrm { cm }$ and 8$\mathrm { cm }$ respectively is melted into acone of base diameter 8$\mathrm { cm } .$ Find the height of the cone.
