Total surface area of a right circular cylinder

Q.

The sum of the radius of the base and height of a solid cylinder is 37 m. If the total surface area of the solid cylinder is 1628 $m^2$. Find the volume of the cylinder.

Q.

The ratio between the curved surface area and the total surface area of a right circular cylinder is $1:2$. Find the volume of the cylinder, if its total surface area is 616 $c{m}^2$

Q.

It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square metres of the sheet are required for the same ?

Q.

Find the lateral curved surface area of a cylindrical petrol storage tank that is 4.2 m in diameter an 4.5 m high. How much steel was actually used, if $\frac{1}{12}$ of steel actually used was wasted in making the closed tank?

Q.

The cost of painting the total outside surface of a closed cylindrical oil tank at 50 paise per square decimetre is Rs. 198. The height of the tank is 6 times the radius of the base of the tank. Find the volume corrected to 2 decimal places.

Q.

A solid generated by the revolution of a rectangle about one of its sides is called a ………

1. Hemisphere

2. Right circular cylinder

3. Cube

4. Right circular cone

Q.

If the diameter of the base of a closed right circular cylinder be equal to its height h, then its whole surface area is

(a) $2\pi h^2$ (b) $\frac{3}{2}\pi h^2$

(c) $\frac{4}{3}\pi h^2$ (d) $\pi h^2$

Q.

Write the ratio of total surface area to the curved surface area of a cylinder of radius r and height h.

Q.

It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square metres of the sheet are required for the same ?

Q.

The ratio between the radius of the base and the height of a cylinder is 2:3. If its 1617$c{m}^3$then its total surface area is

$\left(a\right)308c{m}^2\left(b\right)462c{m}^2\left(c\right)540c{m}^2\left(d\right)770c{m}^2$

Q.

$50$ circular plates each of radius $7\mathrm{cm}$ and thickness $\frac{1}{2}\mathrm{cm}$ the are placed one above another to form a solid right circular cylinder. Find total surface area and volume of cylinder so formed.

Q. Question 6 (i)
A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high.
(i) What is the area of the glass?

Q.

A cylinder with radius r and height h is closed on the top and botton. Which of the following expressions represents the total surface area of this cylinder ?

(a) $2\pi$ r(r+h) (b) $\pi$ r(r+2h)

(c) $\pi$ r(2r+h) (d) $2\pi r^2$ + h

Q.

It is required to make a closed cylindrical tank of height $1m$ and base diameter $140cm$ from a metal sheet. How many square meters of the sheet are required for the same? Assume $\pi =\frac{22}{7}$

Q.

Find

(i) the lateral or curved surface area of a closed cylindrical petrol storage tank that is$4.2m$ in diameter and $4.5m$high.

(ii) How much steel was actually used if $\frac{1}{12}$ of the steel actually used was wasted in making the tank. (Assume $\pi =\frac{22}{7}$)

Q. Question 6
The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it? $[Assume\pi =\frac{22}{7}]$

Q. A plastic box 1.5 m long, 1.2 m wide and 65 cms deep is to be made. It is to be opening at the top. Ignoring the thickness of the plastic sheet, determine :

1 . The areas of the sheet required tor making the box
2. The cost of sheet for it, if a sheet measuring 1 sq .m costs rs 20

Q.

Find the ratio between the total surface area of a cylinder to its curved surface area, given that its height and radius are 7.5 cm and 3.5 cm.

Q.

The total surface area of hollow cylinder, which is open from both sides, is $3575{\mathrm{cm}}^2$; area of the base ring is $357.5{\mathrm{cm}}^2$ and height is $14\mathrm{cm}$. Find the thickness of the cylinder.

Q.

In a water heating system, there is a cylindrical pipe of length 28 m and diameter 5 cm.Find the total radiating surface in the system.

Q. Question 6
The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it? $[Assume\pi =\frac{22}{7}]$

Q.

The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. Find the area of the metal sheet needed to make it.

Q.

Find the total surface area of a hollow right circular cylinder with an inner radius equal to r, outer radius equal to R and height is h.

1. 2 $\pi (R+r)(h+\frac{R}{2}+\frac{r}{2}$)

2. 2 $\pi (R+r)(h+R-r$)

3. 2 $\pi (R+r)(h+\frac{R}{2}-\frac{r}{2}$)

4. $2\pi (R+r)(h-R+r)$

Q. Question 8
In a hot water heating system, there is a cylindrical pipe of length 28 m and diameter 5 cm. Find the total radiating surface of the system.
$[Assume\pi =\frac{22}{7}]$

Q.

A solid cylindrical party popper having radius 7 cm and length 20 cm needs to be gift wrapped by a paper sheet. What is the area of sheet required to cover it completely ?

1. $1148{\text{cm}}^2$

2. $1188{\text{cm}}^2$

3. $1248{\text{cm}}^2$

4. $1198{\text{cm}}^2$

Q.

For an open cubical box of edge a units, the cost of painting it from the outside at the rate of Rs b per sq unit is

1. Rs 6ba²

2. Rs 6b²a

3. Rs 5a²b

4. Rs 5ba²

Q.

The total surface area of a cylinder = _____

1. $2\pi rh$

2. $2\pi r(h+r)$

3. $2\pi rh+\pi r^2$
4. $2\pi r^2$

Q. A rectangle of sides 10 cm and 8 cm is folded to form a cylinder in two different ways. The volume of the bigger cylinder thus formed is

1. $\frac{150}{\pi }c{m}^3$
2. $\frac{200}{\pi }c{m}^3$
3. $\frac{175}{\pi }c{m}^3$
4. $\frac{160}{\pi }c{m}^3$

Q.

A cylinder has radius $r$ and height $h$

(a) How many times greater is the surface area of a cylinder when both dimensions are multiplied by $2$?, $3$?, $5$?, $10$?

(b) Describe the pattern in part (a). Write an expression for the surface area of the cylinder when both dimensions are multiplied by a number.

Q.

Identify a cylinder from the below given three-dimensional shapes.

1. 

2. 

3. 

4.