Curved Surface area of a right circular cylinder

Q.

If the lateral surface of a cylinder is $94.2c{m}^2$ and its height is $5cm$, then find the radius of its base. [use $\pi =3.14$].

Q.

Two circular cylinders of equal volume have their heights in the ration 1:2. Ration of their radii is

(a) 1 : $\sqrt{2}$ (b) $\sqrt{2}$ : 1

(c) 1 : 2 (d) 1 : 4

Q. Question 4
If the radius of a cylinder is doubled and its curved surface area is not changed, the height must be halved.

Q.

The inner diameter of a circular well is $3.5m.$ It is $10m$ deep. Find :

$\left(i\right)$ inner curved surface area.

$\left(ii\right)$ the cost of plastering this curved surface at the rate of $Rs.40$ per $m^2$.

Q. When we fold a rectangle to form a cylinder what will the radius and height of cylinder

Q.

In a cylinder, if radius is doubled and height is halved, curved surface area will be

(a) halved (b) doubled

(c) same (d) foru times

Q.

The curved surface area of a right circular cylinder is $4.4m^2$. If the radius of the base of the cylinder is $0.7m.$ find its height.

Q.

The altitude of a circualr cylinder is increased six times and the base area is decreases to one-ninth of its value. The factor by which the lateral surface of the cylinder increases, is

(a) $\frac{2}{3}$ (b) $\frac{1}{2}$

(c) $\frac{3}{2}$ (d) 2

Q.

A solid cylinder has a total surface area of 231 $c{m}^2$. Its curved surface area is $\frac{2}{3}$ of the total surface area. Find the volume of the cylinder.

Q.

A cylinder and a cone have equal radii of their bases and equal heights. If their curved surface areas are in the ratio 8:5, show that the radius and height of each has the ratio 3:4.

Q.

A rectangular sheet of paper, 44 cm $\times$ 20 cm, is rolled along its lenght of form a cylinder. Find the volume of the cylinder so formed.

Q. Question 10
In the given figure, you see the frame of a lampshade. It is to be covered with a decorative cloth. The frame has a base diameter of 20 cm and height of 30 cm. a margin of 2.5 cm is to be given for folding it over the top and bottom of the frame. Find how much cloth is required for covering the lampshade. $[Assume\pi =\frac{22}{7}]$

Q.

If the curved surface area of a cylinder is $1760c{m}^2$ and its base radius is 14 cm then its height is

(a) 10cm (b) 15 cm (c)20 cm (d) 40 cm

Q.

Define Area?

Q. Question 4
In a cylinder, the radius is doubled and height is halved, then the curved surface area will be:

A) Halved
B) Doubled
C) Same
D) Four times

Q.

A solid cylinder has total surface area of 462 $c{m}^2$. Its curved surface area is one-third of its total surface area. Find the radius and height of the cylinder.

Q.

A measure of the number of square units needed to cover the outside of a figure is called ………

1. Volume

2. Curved surface area

3. Area

4. Surface area

Q.

The height of a right circular cylinder is $10.5m.$ Three times the sum of the areas of its two circular faces is twice the area of the curved surface. Find the volume of the cylinder.

Q.

If the diameter of a cylinder is 28 cm and its height is 20 cm then its curved surface area is

$\left(a\right)880c{m}^2\left(b\right)1760c{m}^2\left(c\right)3520c{m}^2\left(d\right)2640c{m}^2$

Q.

Twenty cylindrical pillars of the parliament house are to be cleaned. If the diameter of each pillar is 0.50 m and height is 4 m, What will be the cost of cleaning them at the rate of Rs. 2.50 per square metre?

Q. Question 1
The curved surface area of a right circular cylinder of height 14 cm is 88 $c{m}^2$. Find the diameter of the base of the cylinder. Assume $\pi =\frac{22}{7}$.

Q.

The diameter of a roller, $1m$ long, is $84cm.$ If it takes $500$ complete revolutions to level a playground, the area of the playground is

$\left(a\right)1440m^2\left(b\right)1320m^2\left(c\right)1260m^2\left(d\right)1550m^2$

Q. Two cylinders have same lateral surface area. Their radii are in the ratio 3:2. Find the ratio of their heights.

Q.

There are 20 cylindrical pillars in a building, each having a diameter of 50 cm and height 4 m, Find the cost of cleaning them at Rs 14 per $m^2$.

Q.

The lateral surface area of a cylinder is

$\left(a\right){\pi }^{2}h\left(b\right)\pi rh\left(c\right)2\pi rh\left(d\right)2\pi r^2$

Q. Circumference of the base of a cylinder open at the top is 132cm. The sum of the radius and slant height of the cylinder is 41cm. Find the cost of polishing the outer surface of cylinder at the rate of ₹400 per m^{​​​​​​2.}

Q.

If the lateral surface of a cylinder is 94.2 $c{m}^2$ and its height is 5 cm, find :

(i) radius of its base

(ii) volume of the cylinder [Use $\pi$ = 3.14]

Q.

A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting the curved surface of the pillar at the rate of 12.50 per $m^2$.

Q.

A road-roller is of diameter 80 centimetres and length 1.2 metres. What is the area of ground levelled, as it rolls once?

Q.

A right circular cylindrical tunnel of diameter 2 m and length 40 m is to be constructed from a sheet of iron. The area of the iron sheet required in $m^2$, is

(a) 40 $\pi$ (b) 80 $\pi$

(c) 160 $\pi$ (d) 200 $\pi$