Surface Area of a Cylinder

Q.

The total surface area of a cylinder = $2\pi rh+\pi r^2$

1. True

2. False

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. The total surface area of hollow cylinder having the inner and outer radii as $\frac{R}{2}$ and $R$ is $x\pi R(R+\frac{L}{4})$. Find x.

1. 3

Q.

If V and C stand respectively for the volume and curved surface area of a cylinder with radius r of base then

1. $VC=\pi r$

2. 2C=Vr

3. 2V=Cr

4. 2r =VC

Q.

Question 5 (iii)
It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of $Rs20per{m}^2$, find:

(iii) Capacity of the vessel

$[Assume\pi =\frac{22}{7}]$

Q. The cost of painting the curved surface area of a cylindrical pillar of height 10 m and radius 3.5 m at the rate of ₹ 10 per sq. meter is :
(Take pi=$\frac{22}{7}$)

1. ₹ 2200
2. ₹ 2000
3. ₹ 3000
4. ₹ 3200

Q.

A big iron boiler tank opened on top is cylindrical in shape. It's height is 10m and radius is 7m. It gets corroded at a rate of 3 sq. meter/day. The number of days in which it totally gets corroded is (Take $\pi =\frac{22}{7}$ )

1. 192

2. 202

3. 198

4. 208

Q.

An iron tank with an open top is cylindrical in shape. It has a height of $10m$ and radius $7m.$ It gets corroded at a rate of $3m^2/day.$ The number of days in which it gets completely corroded is [Take $\pi =\frac{22}{7}$]

1. 192

2. 202

3. 198

4. 208

Q. Two edges of a rectangular sheet of paper having dimensions 14m $\times$ 7m are held together so that it forms a cylinder. Find the curved surface area(in sq. cm) of the cylinder.

1. 98

Q.

An iron tank with an open top is cylindrical in shape. It has a height 10m and radius 7m. It gets corroded at a rate of 3 sq. meter/day. The number of days in which it gets completely corroded is (Take pi=$\frac{22}{7}$)

1. 202

2. 198

3. 208

4. 192

Q.

A big iron boiler tank opened on top is cylindrical in shape.It has height is 10 m and radius is 7m. It gets corroded at a rate of 3 sq. meter/day. The number of days in which it totally gets corroded is: (Take pi=$\frac{22}{7}$)

1. 208

2. 192

3. 198

4. 202

Q.

The cost of painting the curved surface area of a cylindrical pillar of height 10 m and radius 3.5 m at ₹ 10/- per sq. meter is ₹ 2200/-.
($use\pi =\frac{22}{7}$)

1. True

2. False

Q. The circumference of the base of a cylindrical vessel is $132$ cm and its height is $25$cm. Find the radius of the cylinder.

Q.

A big iron boiler tank opened on top is cylindrical in shape.It has height is 10 m and radius is 7m. It gets corroded at a rate of 3 sq. meter/day. The number of days in which it totally gets corroded is (Take pi=$\frac{22}{7}$)

Q. The height of a right circular cylinder with lateral surface area $792c{m}^2$ is $21cm$. The diameter of the base is

1. $3cm$
2. $6cm$
3. $11cm$
4. $24cm$

Q.

A cylindrical rod of height 10 m and radius 7m is melted into 7 identical cylindrical pistons of radius 14m and height $\frac{5}{14}$ m.

Decide whether or not the following assertions are correct:

(1) The volume of the cylindrical rod is equal to the sum of the volume of all 7 pistons.

(2) The total surface area of the cylindrical rod is equal to the sum of total surface area of the cylindrical piston.

Q. If the radius of a cylinder is doubled and the height is halved, what is the ratio between the new curved surface area and the previous curved surface area of the cylinder?

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

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

Q. A cylinder has a surface area of 360$\pi$ units square, and is 3 units tall. What is the diameter of the cylinder's circular base ?

1. $24$ units
2. $36$ units
3. $32$ units
4. $18$ units

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

Q.

A big iron boiler tank opened on top is cylindrical in shape. It's height is 10 m and radius is 7m. It gets corroded at a rate of 3 sq. meter/day. The number of days in which it totally gets corroded is (Take pi=$\frac{22}{7}$)

1. 192

2. 202

3. 198

4. 208

Q. A cylindrical flask of base perimeter 44 cm and height 15 cm needs to be coloured. If the cost of colouring 1 cm${}^2$ area is ₹ 0.1, then find the total cost of colouring the flask.

1. ₹ 96.8
2. ₹ 99.8
3. ₹ 101.8
4. ₹ 96

Q. If the radius of a cylinder is tripled but its curved surface area is unchanged, then its height will be ......

1. Tripled
2. Constant
3. One sixth
4. One third

Q. Given the volume of the metal-shape is $38808$ ${\text{cm}}^3$, find the surface area. $(\pi =22/7)$

Q. The diameter and height of a cylindrical tank are 7$m$ and $9m$ respectively. If the inner side of the tank has to be painted all over, what will it cost at Rs $35$ per square metre?

1. Rs.$6420.8$
2. Rs.$9420.8$
3. Rs.$6620.8$
4. Rs.$9620.8$

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

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

Q. The difference between the total surface area and curved surface area of a cylinder of base radius 10 cm is ______

Q. In a cylinder, if the radius is halved and height is doubled, the curved surface area will

1. remain same
2. none of the above
3. decrease
4. increase

Q. A hollow cylinder has only

1. curved surface area
2. total surface area
3. volume
4. Perimeter

Q. Find the cost of sinking a tube well $280m$ deep, having diameter $3m$ at the rate of $Rs.3.60$ per cubic meter. Find also the cost of cementing its inner curved surface at $Rs.2.50$ per square meter.