English

Write the Ratio of Total Surface Area to the Curved Surface Area of a Cylinder of Radius R and Height H. - Mathematics

Advertisements
Advertisements

Question

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

Short Note

Solution

Total Surface Area of a cylinder =  `2pirh + 2pir^2`

Curved Surface Area of a cylinder =  `2pirh`

Ratio of Total Surface Area (TSA) to Curved Surface Area (CSA) is given by,

`(TSA)/(CSA) = (2pirh + 2pir^2)/(2pirh)`

            =`(2pir(h +r))/(2pirh)`

            = `(h+r)/h`

The ratio of Total Surface Area to Curved Surface Area is (h+r): h

shaalaa.com
  Is there an error in this question or solution?
Chapter 19: Surface Areas and Volume of a Circular Cylinder - Exercise 19.3 [Page 28]

APPEARS IN

RD Sharma Mathematics [English] Class 9
Chapter 19 Surface Areas and Volume of a Circular Cylinder
Exercise 19.3 | Q 2 | Page 28

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

A company packages its milk powder in a cylindrical container whose base has a diameter of 14 cm and height 20 cm. The company places a label around the surface of the container (as shown in the figure). If the label is placed 2 cm from top and bottom, what is the area of the label.


A milk tank is in the form of a cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in litres that can be stored in the tank?


A storage tank consists of a circular cylinder with a hemisphere adjoined on either end. If the
external diameter of the cylinder be 1.4 m and its length be 8 m, find the cost of painting it
on the outside at the rate of Rs. 10 per `m^2`.


A cylindrical vessel, without lid, has to be tin-coated on its both sides. If the radius of the base is 70 cm and its height is 1.4 m, calculate the cost of tin-coating at the rate of Rs 3.50 per 1000 cm2.

 

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the diameter and the height of the pillar.


The trunk of a tree is cylindrical and its circumference is 176 cm. If the length of the trunck is 3 m. Find the volume of the timber that can be obtained from the trunk.


If r is the radius and h is height of the cylinder the volume will be 


If diameter of a road roller is 0.9 m and its length is 1.4 m, how much area of a field will be pressed in its 500 rotations? `(π = 22/7)`


Find the area of the sheet required to make a cylindrical container which is open at one side and whose diameter is 28 cm and height is 20 cm. Find the approximate area of the sheet required to make a lid of height 2 cm for this container.


A cylinder has a diameter 20cm. The area of the curved surface is 1100cm2. Find the height and volume of the cylinder.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×