मराठी
सी.आई.एस.सी.ई.आयसीएसई ICSE Class 8

A cylindrical pillar has a radius of 21 cm and a height of 4 m. Find: The curved surface area of the pillar. cost of polishing 36 such cylindrical pillars at the rate of ₹12 per m2.

Advertisements
Advertisements

प्रश्न

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.
बेरीज
Advertisements

उत्तर

r = 21 cm, h = 4 m = 400 cm

i. C.S.A = 2πrh

= `2 xx 22/7 xx 21 xx 400`

= 52800 cm2

= `52800/(100 xx 100) = 5.28` m2

ii. Rate = ₹12/m2

Area to be polished = (5.28 × 36) m2

Cost = 12 × Area

= 12 × 5.28 × 36

= ₹2280.96

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 21: Surface Area, Volume and Capacity - Exercise 21 (D) [पृष्ठ २४३]

APPEARS IN

सेलिना Concise Mathematics [English] Class 8 ICSE
पाठ 21 Surface Area, Volume and Capacity
Exercise 21 (D) | Q 9 | पृष्ठ २४३

संबंधित प्रश्‍न

The floor of a rectangular hall has a perimeter 250 m. If the cost of panting the four walls at the rate of Rs.10 per m2 is Rs.15000, find the height of the hall.

[Hint: Area of the four walls = Lateral surface area.]


The paint in a certain container is sufficient to paint an area equal to 9.375 m2. How many bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container?


Parveen wanted to make a temporary shelter for her 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 × 3 m?


Three equal cubes are placed adjacently in a row. Find the ratio of total surface area of the new cuboid to that of the sum of the surface areas of the three cubes.


The paint in a certain container is sufficient to paint on area equal to 9.375 m2. How manybricks of dimension 22.5 cm × 10 cm × 7.5 cm can be painted out of this container?


How many wooden cubical blocks of side 25 cm can be cut from a log of wood of size 3 m by 75 cm by 50 cm, assuming that there is no wastage?


A cuboidal block of solid iron has dimensions 50 cm, 45 cm and 34 cm. How many cuboids of size 5 cm by 3 cm by 2 cm can be obtained from this block? Assume cutting causes no wastage.


Find the volume in cubic metre (cu. m) of the cuboid whose dimensions islength = 4 m, breadth = 2.5 m, height = 50 cm.


A solid rectangular piece of iron measures 6 m by 6 cm by 2 cm. Find the weight of this piece, if 1 cm3 of iron weighs 8 gm.


Find the surface area of a cuboid whoselength = 3.2 m, breadth = 30 dm, height = 250 cm.


The dimensions of a cuboid are in the ratio 5 : 3 : 1 and its total surface area is 414 m2. Find the dimensions.


If V is the volume of a cuboid of dimensions a, b, c and S is its surface area, then prove that \[\frac{1}{V} = \frac{2}{S}\left( \frac{1}{a} + \frac{1}{b} + \frac{1}{c} \right)\]


The breadth of a room is twice its height, one half of its length and the volume of the room is 512 cu. dm. Find its dimensions.


A closed iron tank 12 m long, 9 m wide and 4 m deep is to be made. Determine the cost of iron sheet used at the rate of Rs 5 per metre sheet, sheet being 2 m wide.


If two cubes each of side 6 cm are joined face to face, then find the volume of the resulting cuboid.


If each edge of a cuboid of surface area S is doubled, then surface area of the new cuboid is


The cost of constructing a wall 8 m long, 4 m high and 10 cm thick at the rate of Rs. 25 per m3 is


If each edge of a cube is increased by 50%, the percentage increase in its surface area is


If A1, A2, and A3 denote the areas of three adjacent faces of a cuboid, then its volume is


The dimensions of a Cinema Hall are 100 m, 60 m, and 15 m. How many persons can sit in the hall if each requires 150 m3 of air? 


The external dimensions of a closed wooden box are 27 cm, 19 cm, and 11 cm. If the thickness of the wood in the box is 1.5 cm; find:

  1. The volume of the wood in the box;
  2. The cost of the box, if wood costs Rs. 1.20 per cm3;
  3. A number of 4 cm cubes that could be placed into the box.

The length, breadth, and height of a cuboid are in the ratio 5 : 3: 2. If its volume is 240 cm3; find its dimensions. Also, find the total surface area of the cuboid.


Find the length of each edge of a cube, if its volume is :
(i) 216 cm3
(ii) 1.728 m3


The dimension of a class-room are; length = 15 m, breadth = 12 m and height = 7.5 m. Find, how many children can be accommodated in this class-room; assuming 3.6 m3 of air is needed for each child.


The height of a circular cylinder is 20 cm and the diameter of its base is 14 cm. Find:
(i) the volume
(ii) the total surface area.


Find the total surface area of the cuboid of length, breadth, and height as given below:
12 cm, 10 cm, 5 cm

Below are the drawings of cross sections of two different pipes used to fill swimming pools. Figure A is a combination of 2 pipes each having a radius of 8 cm. Figure B is a pipe having a radius of 15 cm. If the force of the flow of water coming out of the pipes is the same in both the cases, which will fill the swimming pool faster?


A rectangular sheet of dimensions 25 cm × 7 cm is rotated about its longer side. Find the volume and the whole surface area of the solid thus generated.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×