C.S.A of Cylinder

Q. Find the surface area (in sq. cm.) of a cylindrical container with radius 4 cm and height 10 cm, assuming it has an open top and a closed bottom.

1. $301.7sq.cm.$
2. $351.9sq.cm.$
3. $251.3sq.cm.$
4. $421.6sq.cm.$

Q.

The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is ₹ 8800. If the painter charges ₹ 40 per metre square to paint the cylindrical container, then find its radius.
[ $\text{Take}\pi =\frac{22}{7}$ ]

1. 1.75 m

2. 6 m

3. 3.5 m

4. 7 m

Q.

If we have a cardboard sheet of area $32\pi m^2$ and we are supposed to create a cylindrical pen holder of radius $2m$ and height $3m$, then how many pen holders can be created using the provided cardboard sheet?

1. $1$
2. $2$
3. $3$
4. $4$

Q. The curved surface area of the cylinder can be related to a rectangle having length and bredath as.
[h is the height and r is the radius of cylinder]

1. $2\pi r$, $h$
2. $h$, $2\pi$
3. $h$, $2r$
4. $h$, $\pi r$

Q. The length, breadth and height of a room are $5m$, $4m$ and $3m$ respectively. Find the cost white washing the walls of the room and ceiling at the rate of $Rs.7.50$ per $m^2$.

Q.

If the height of the cylinder is doubled, by what number must the radius of the base be multiplied so that resulting cylinder has the same curved surface area as the original cylinder?

1. 2
2. 0.5
3. 4
4. 0.25

Q. If the cost of painting the CSA of a cylinder of height 20 m at ₹ 40 per sq.m is ₹ 8800, then radius is .

1. 1.75 m
2. 3.5 m
3. 7 m

Q.

Find the CSA of a cylindrical container of depth 20 m and radius 0.7 m.

1. 22 $m^2$

2. 44 $m^2$

3. 88 $m^2$

4. 11 $m^2$

Q. If we have a cardboard sheet of area $32\pi m^2$ and we are supposed to create a cylindrical pen holder of radius $2m$ and height $3m$, then how many pen holders can be created using the provided cardboard sheet?

1. 1
2. 2
3. 4
4. 3

Q. The curved surface of a cylindrical bulb of height $18cm$ and base radius $7cm$ is to be painted in luminating gold colour such that ${\frac{2}{3}}^{rd}$ of the height of the bulb emits golden light; painting is done at ₹ 5 per sq. cm. The cost of painting the bulb is Rs _____.
$(use\pi =\frac{22}{7})$

1. 2640

Q.

If a rectangular sheet is folded along its length to cover the curved surface of the cylinder with radius R and height H, then find the length and breadth of the rectangular sheet.

1. $Lengthoftherectangularsheet=\pi R$
2. $Breadthoftherectangularsheet=H$
3. $Lengthoftherectangularsheet=2\pi R$
   
4. $Breadthoftherectangularsheet=2H$

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 rectangular sheet of paper is made to cover a cylinder such that the width of the rectangular sheet is equal to the height of the cylinder and length is just enough to go round the cylinder. Which of the following option correctly represents the curved surface area of the cylinder?

1. Area of the rectangular sheet

2. Height of the cylinder × Area of rectangular sheet

3. Perimeter of the rectangular sheet

4. Radius of base of the cylinder × Height of the cylinder

Q. If the curved surface area of a right circular cylinder is $704sq.cm$, and height is $8cm$, find the volume of the cylinder in litres. (Take $\pi =\frac{22}{7}$)

Q.

The curved surface of a cylindrical bulb of height $18cm$ and base radius $7cm$ is to be painted in luminating gold colour such that ${\frac{2}{3}}^{rd}$ of the height of the bulb emits golden light; painting is done at ₹ 5 per sq. cm. The cost of painting the bulb is_____.
$(use\pi =\frac{22}{7})$

1. ₹ 2640

2. ₹ 1650

3. ₹ 2750

4. ₹ 2800

Q. The CSA of a cylindrical container of depth 20 m and radius 0.7 m =.

1. 22 m${}^2$
2. 44 m${}^2$
3. 88 m${}^2$

Q. If we have a cardboard sheet of area $32\pi m^2$ and we are supposed to create a cylindrical pen holder of radius $2m$ and height $3m$, then how many pen holders can be created using the provided cardboard sheet?

1. 1
2. 2
3. 3
4. 4

Q. CSA of cylinder having radius 5 cm and height 14 cm is .

1. 440 cm${}^2$
2. 140 cm${}^2$
3. 460 cm${}^2$

Q.

If the height of the cylinder is doubled, by what number must the radius of the base be multiplied so that resulting cylinder has the same curved surface area as the original cylinder?

1. 0.25
2. 2
3. 4
4. 0.5

Q. The diameter of a basketball is 4 times the diameter of a tennis ball. Then, the ratio of the surface area of the basketball to that of the tennis ball is _____.

1. 
   $16:1$
2. 
   $1:16$
3. 
   $8:1$
4. 
   $1:8$

Q. If we have a cardboard sheet of area $32\pi m^2$ and we are supposed to create a cylindrical pen holder of radius $2m$ and height $3m$, then how many pen holders can be created using the provided cardboard sheet?

1. 1
2. 2
3. 3
4. 4

Q. The barrel of a fountain pen, cylindrical in shape, is $7cm$ long and $5mm$ in diameter. A full barrel of ink in the pen is used up on writing $3300$ words on an average. If $k$ words can be written in a bottle of ink containing one fifth of a litre, find $\frac{k}{1000}$.

Q.

The curved surface of a cylindrical bulb of height $18cm$ and base radius $7cm$ is to be painted in luminating gold colour such that ${\frac{2}{3}}^{rd}$ of the height of the bulb emits golden light; painting is done at ₹ 5 per sq. cm. The cost of painting the bulb is_____.
$(use\pi =\frac{22}{7})$

1. ₹ 1650

2. ₹ 2750

3. ₹ 2640

4. ₹ 2800