Question 1 :
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 2 :
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 3 :
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 4 :
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 5 :
How many cubes of $10\ cm$ edge can be put in a cubical box of $1\ m$ edge?
Question 6 :
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 7 :
A shuttle cock used for playing badminton has the shape of the combination of<br>
Question 8 :
A cylindrical box of radius <b>5 </b>cm contains <b>10</b> solid spherical balls each of radius <b>5</b> cm. If the topmost ball touches the upper cover of the box, then the volume of the empty space in the box is :
Question 9 :
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 10 :
The maximum length of a pencil that can be kept in rectangular box of dimensions $12\ cm\times 9\ cm \times 8\ cm$, is
Question 11 :
The volume of a frustum of cone is calculated by using the formula ______.
Question 12 :
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 13 :
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 14 :
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 15 :
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 16 :
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 17 :
A friction clutch is in the form of a frustum of  cone. The radius of the ends bring $16$ cm and $10$ cm. Find its curved surface area. The slant height of the friction clutch is $12$ cm.
Question 18 :
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 19 :
Find the volume of the frustum cone whose base and topradius is 20 ft and 10 ft respectively. The height of the cone is 300 ft. (Use $\pi$= 3).
Question 20 :
A right circular cone is 84 cm high The radius of the base is 350 m Find the curved surface area
Question 21 :
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 22 :
A flower pot in the shape of a frustum with the top and bottom circles of radii $20$  in and $10$ in. Its depth is $30$ in. Find its volume.
Question 23 :
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 24 :
A cone of height $7$ cm. and base radius $3$ cm. is carved from a rectangular block of wood of dimensions $10 cm. \times 5 cm. \times 2$ cm. The percentage of wood wasted is
Question 25 :
A right circular cylinder and a right circular cone both having the same radius and height then the ratio of their volumes is
Question 26 :
A right circular cone is cut off at the middle of its height and parallel to the base. Call the smaller cone so formed as A and the remaining part as B, then
Question 27 :
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 28 :
Assertion: No. of spherical balls that can be made out of a solid cube of lead whose edge is 44 cm, each ball being 4 cm. in diameter, is 2541
Reason: Number of balls $=$(Volume of one ball)/(Volume of lead)
Question 29 : <p>The slant heightof a frustum of a flower pot is 2 mm and the perimeters of its circular endsare 12 mm and 4 mm. Find the curved surface area of the flower pot.</p>
Question 30 :
The total surface area of a frustum of cone is calculated by using the formula _________.
Question 31 : <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 32 :
From a right circular cylinder with height $10\ cm$ and radius of base $6\ cm$, a right circular cone of the same height and base is removed. Find the volume of the remaining solid
Question 33 : <p>A vessel is inthe form of a frustum of a cone. Its radius at top end is 12 m and the bottomend is 10 m. Its volume is 369 $ \pim^3$. Findits height.</p>
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 :
Find the total surface area of a cone, if its slant height is $21m$ and diameter of its base is $24m$.
Question 36 :
A vessel is in the form of a frustum of a cone. Its radius at top end is $10$ m and the bottom end is $5$ m. Its volume is $402 \pi$ cubic meter.  Find its height.<br/>
Question 37 :
Curved surface area of a cone is $308{cm}^{2}$ and its slant height is $14cm$. Find total surface area of the cone.
Question 38 :
A bucket in the shape of a frustum with the top and bottom circle area is $120m^2$ and $280m^2$. The height of the bucket is $15$ m. Find its volume.<br/>
Question 39 : <p>The curved surface area of frustum cone is $303.3$ $in^2$. The diameter of a top cone is $0.5$ and the radius of the bottom cone is $0.2$ in. Find the slant height. (Use $\pi$ = 3.14).</p>
Question 40 :
A bucket is in the form of a frustum of a cone. The curved surface area of the bucket is $270 \pi \space\ cm^2$. The top and bottom radius of the bucket is $3$cm and $6$cm. What is the slant height?<br/>
Question 41 :
From a right circular cylinder of radius $10$ cm and height $21$ cm a right circular cone of same base radius is removed. If the volume of the remaining portion is $4400\ \text{cm}^{3}$, then the height of the cone removed is
Question 42 :
A rectangular sheet of paper $22$cm long and $12$cm broad can be  curved to form the lateral surface of a right circular cylinder in two ways. Taking $\pi= \dfrac{22}{7}$. Difference in the volumes of the two cylinders thus formed is<br/>
Question 43 :
A vessel is in the form of a frustum of a cone.Its radius at top end is 8 cm and the bottom end is 12 cm. Its height is 21 cm.Find the volume of the frustum cone.
Question 44 :
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 45 :
A cube whose volume is $1/8$ cubic centimeter is placed on top of a cube whose volume is $1{cm}^{3}$. The two cubes are then placed on top of a third cube whose volume is $8{Cm}^{3}$. The height of the stacked cubes is
