Right Circular Cylinder

Q.

The number of surfaces in a right circular cylinder is

(a) 1 (b) 2

(c) 3 (d) 4

Q.

The area of the curved surface of a cone of radius 2r and slant height $\frac{l}{2}$, is

1. $2\pi rl$

2. $\pi rl$

3. $\frac{l}{2}\pi rl$

4. $\pi (r+l)r$

Q.

Vertical cross-section of a right circular cylinder is always a

(a) square (b) rectangle

(c) rhombus (d) trapezium

Q.

The diameter of a roller is $84cm$ and its length is $120cm$. It takes $500$ complete revolutions to move once over to level a playground. Find the area of the playground in $m^2$?(Assume $\mathrm{\pi }=\frac{22}{7}$)

Q. A cylinder and a cone have equal radii of their bases and equal heights. Show that their volumes are in the ratio 3 : 1.

Q. Two cylindrical jars have their diameters in the ratio 3 : 1, but their height is 1 : 3. Then ratio of their volumes is

1. 2 : 5
2. 1 : 4
3. 1 : 3
4. 3 : 1

Q. The slant height of a cone is increased by $10\%$. If the radius remains the same, the curved surface area is increased by _____.

1. $10\%$
2. $12.1\%$
3. $20\%$
4. $21\%$

Q.

What is the shape formed by stacking up a number of circular sheets of the same radius one over another vertically?

1. Cylinder

2. Cone

3. Sphere

4. Cube

Q.

The volume of a cylinder is $231c{m}^3$ and its height is 6 $cm$. A ball will fit inside the cylinder if its radius is ______.

1. 3 $cm$

2. 4 $cm$

3. 2.5 $cm$

4. 5 $cm$

Q.

If the height of the cone is doubled, the volume of the new cone will be

1. 2 times the original cone

2. 8 times the original cone

3. Same as the original cone

4. 4 times the original cone

Q. A conical tomb is to be covered with metal strips of area 5 m${}^2$ each. The slant height and radius of the tomb are measured to be 35 m and 8 m respectively. Find the total number of strips used to cover the tomb. (Take $\pi =\frac{22}{7}$)

1. 126
2. 176
3. 150
4. 160

Q.

The number of surfaces of a hollow cylindrical object is

(a) 1 (b) 2

(c) 3 (d) 4

Q. If a cone is cut into two parts by a horizontal plane passing through the mid point of its axis, find the ratio of the volumes of upper and lower part.

Q. If the volume of a right circular cone of height 9 cm is 48$\mathrm{\pi }$ cm³, find the diameter of its base.

Q. A right circular cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is
(a) 3 : 5
(b) 2 : 5
(c) 3 : 1
(d) 1 : 3

Q. The front compound wall of a house is decorated by wooden spheres of diameter $21cm$, placed on small supports as shown in figure. Eight such spheres are used for this purpose, and are to be painted silver. Each support is a cylinder of radius $1.5cm$ and height $7cm$ and is to be painted black. Find the cost of paint required if silver paint costs $25paiseperc{m}^2$ and black paint costs $5paiseperc{m}^2$.

Q. The number of surfaces in right cylinder is

(a) 1

(b) 2

(c) 3

(d) 4

Q. The number of surfaces of a hollow cylindrical object is

(a) 1

(b) 2

(c) 3

(d) 4

Q. Vertical cross-section of a right circular cylinder is always a

(a) square

(b) rectangle

(c) rhombus

(d) trapezium

Q. The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is

(a) 2 : 1

(b) 1 : 1

(c) 2 : 3

(d) 1 : 2

Q. Write the number of surfaces of a right circular cylinder.

Q. If the radius of the base of a cone is halved, keeping the height same, what is the ratio of the volume of the reduced cone to that of the original cone?

Q. Mark the correct alternative in each of the following:
The number of surfaces of a cone has, is

(a) 1

(b) 2

(c) 3

(d) 4

Q.

Raghu had to make a cylindrical tube with an aluminium cover. What is the area of the aluminium sheet he needs to cover the tube if the tube has a length of 1 m and base radius 3.5 cm?
(Take π=22/7)

1. $1100{cm}^2$
2. $2200{cm}^2$
3. $3300{cm}^2$
4. $1500{cm}^2$

Q.

A cylinder is having a volume of $231c{m}^3.$ If the height of cylinder is $6cm,$ a ball will fit inside the cylinder if its radius is

1. Circle

2. $4cm$

3. $2.5cm$

4. $5cm$

Q. The height of a conical vessel is 3.5 cm. If its capacity is 3.3 litres of milk. Find its diameter of its base.

Q.

Write the number of surfaces of a right circular cylinder.

Q. Volume of a cylinder is three times the volume of a ___ on the same base and of the same height.

1. another cylinder
2. cube
3. sphere
4. cone

Q. The ratio of the volume of a right circular cylinder and a right circular cone of the same base and height, is

(a) 1 : 3

(b) 3 : 1

(c) 4 : 3

(d) 3 : 4

Q. Question 7
A sphere and a right circular cylinder of the same radius have equal volumes. By what percentage does the diameter of the cylinder exceed its height?