English

The Diameter of a Garden Roller is 1.4 M and It 2 M Long. Find the Maximum Area Covered by Its 50 Revolutions?

Advertisements
Advertisements

Question

The diameter of a garden roller is 1.4 m and it 2 m long. Find the maximum area covered by its 50 revolutions?

Sum
Advertisements

Solution

Diameter of the roller = 1.4 m

Radius (r) = `1.4/2` = 0.7 m

and length (h) = 2m

Curved surface area = 2πrh = 2 x `22/7` x 0.7 x 2 cm2 = 8.8 m2

Area covered in 50 complete revolutions = 8.8 x 50 m2 = 440 m2

Area of the playground = 440 m2

shaalaa.com
  Is there an error in this question or solution?
Chapter 21: Surface Area, Volume and Capacity - Exercise 21 (E) [Page 244]

APPEARS IN

Selina Concise Mathematics [English] Class 8 ICSE
Chapter 21 Surface Area, Volume and Capacity
Exercise 21 (E) | Q 9 | Page 244

RELATED QUESTIONS

There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make?

(a) (b)

Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden block
covered with coloured paper with picture of Santa Claus on it. She must know the exact
quantity of paper to buy for this purpose. If the box has length, breadth and height as 80
cm, 40 cm and 20 cm respectively. How many square sheets of paper of side 40 cm would
she require?


The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost
of white washing the walls of the room and the ceiling at the rate of Rs. 7.50 m2.


A 4 cm edge cube is cut into 1 cm edge cubes. Calculate the total surface area of all the small cubes.


The dimensions of a rectangular box are in the ratio of 2 : 3 : 4 and the difference between the cost ofcovering it with sheet of paper at the rates of Rs. 8 and Rs. 9.50 per m2 is Rs.1248. Find the dimensions of the box.


Ravish wanted to make a temporary shelter for his car by making a box-like structure with tarpaulin that covers all the four sides and the top of the car ( with the front face as a flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how much tarpaulin would be required to make the shelter of height 2.5 m with
base dimensions 4 m × 3m?


A cuboidal wooden block contains 36 cm3 wood. If it be 4 cm long and 3 cm wide, find its height.


Find the volume in cubic metre (cu. m) of the cuboid whose dimensions is length = 12 m, breadth = 10 m, height = 4.5 cm.


How much clay is dug out in digging a well measuring 3 m by 2 m by 5 m?


The length , breadth and height of a room are 5 m, 4.5 m and 3 m, respectively. Find the volume of the air it contains.


How many planks each of which is 3 m long, 15 cm broad and 5 cm thick can be prepared from a wooden block 6 m long, 75 cm broad and 45 cm thick?


A field is 150 m long and 100 m wide. A plot (outside the field) 50 m long and 30 m wide is dug to a depth of 8 m and the earth taken out from the plot is spread evenly in the field. By how much is the level of field raised?


The area of the floor of a room is 15 m2. If its height is 4 m, then the volume of the air contained in the room is


If l is the length of a diagonal of a cube of volume V, then


Length, breadth and height of a cuboid shape box of medicine is 20 cm, 12 cm and 10 cm respectively. Find the surface area of vertical faces and total surface area of this box.


Total surface area of a box of cuboid shape is 500 sq. unit. Its breadth and height is 6 unit and 5 unit respectively. What is the length of that box ?


A solid cuboid of metal has dimensions 24 cm, 18 cm, and 4 cm. Find its volume.


A wall 9 m long, 6 m high and 20 cm thick, is to be constructed using bricks of dimensions 30 cm, 15 cm, and 10 cm. How many bricks will be required?


How many persons can be accommodated in a big-hall of dimensions 40 m, 25 m, and 15 m; assuming that each person requires 5 m3 of air?


The dining-hall of a hotel is 75 m long; 60 m broad and 16 m high. It has five – doors 4 m by 3 m each and four windows 3 m by 1.6 m each. Find the cost of :

(i) papering its walls at the rate of Rs.12 per m2;
(ii) carpetting its floor at the rate of Rs.25 per m2.


A closed box measures 66 cm, 36 cm and 21 cm from outside. If its walls are made of metal-sheet, 0.5 cm thick; find :
(i) the capacity of the box ;
(ii) the volume of metal-sheet and
(iii) weight of the box, if 1 cm3 of metal weighs 3.6 gm.


Find the area of metal-sheet required to make an open tank of length = 10 m, breadth = 7.5 m and depth = 3.8 m.


The internal length, breadth, and height of a closed box are 1 m, 80 cm, and 25 cm. respectively. If its sides are made of 2.5 cm thick wood; find :
(i) the capacity of the box
(ii) the volume of wood used to make the box.


Find the capacity of a cylindrical container with an internal diameter of 28 cm and a height of 20 cm.


A cylindrical pillar has a radius of 21 cm and a height of 4 m. Find:

  1. The curved surface area of the pillar.
  2. cost of polishing 36 such cylindrical pillars at the rate of ₹12 per m2.

The length and breadth of a cuboid are 20 cm and 15 cm respectively. If its volume is 2400 cm3, find its height.


Find the volume of a cuboid whose diagonal is `3sqrt(29)"cm"` when its length, breadth and height are in the ratio 2 : 3 : 4.


375 persons can be accommodated in a room whose dimensions are in the ratio of  6 : 4 : 1. Calculate the area of the four walls of the room if the each person consumes 64m3 of air.


The length of a cold storage is double its breadth. Its height is 3m. The area of its four walls including doors is 108m2. Find its volume.


The areas of any two faces of a cuboid are equal.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×