मराठी

The circumference of the base of a 12 m high conical tent is 66 m. Find the volume of the air contained in it. - Mathematics

Advertisements
Advertisements

प्रश्न

The circumference of the base of a 12 m high conical tent is 66 m. Find the volume of the air contained in it.

बेरीज

उत्तर

Given, Circumference of conical tent C = 66 m

And height (h) of conical tent = 12 m.

∴ Radius = `C/(2pi)`

= `(66 xx 7)/(2 xx 22)`

= `21/2`

= 10.5 m

∴ Volume of the air contained by it

= `1/3 pir^2h`

= `1/3 xx 22/7 xx 21/2 xx 21/2 xx 12  m^3`

= 1386 m3

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 20: Cylinder, Cone and Sphere - Exercise 20 (B) [पृष्ठ ३०३]

APPEARS IN

सेलिना Mathematics [English] Class 10 ICSE
पाठ 20 Cylinder, Cone and Sphere
Exercise 20 (B) | Q 3 | पृष्ठ ३०३

संबंधित प्रश्‍न

The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of white-washing its curved surface at the rate of ₹ 210 per 100 m2.

`["Assume "pi=22/7]`


Find the curved surface area of a cone, if its slant height is 60 cm and the radius of its base is 21 cm.  


Find the total surface area of a cone, if its slant height is 21 m and diameter of its base is 24 m.


There are two cones. The curved surface area of one is twice that of the other. The slant height of the later is twice that of the former. Find the ratio of their radii.  


Curved surface area of a cone is 308 cm2 and its slant height is 14 cm. Find the radius of the base and total surface area of the cone. 


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 of each is to the height of each as 3:4.


A heap of wheat is in the form of a cone of diameter 9 m and height 3.5 m. Find its volume. How much canvas cloth is required to just cover the heap? (Use 𝜋 = 3.14). 


Monica has a piece of Canvas whose area is 551 m2. She uses it to have a conical tent made, with a base radius of 7m. Assuming that all the stitching margins and wastage incurred while cutting, amounts to approximately 1 m2. Find the volume of the tent that can be made with it.


The radius and the height of a right circular cone are in the ratio 5 : 12 and its volume is 2512 cubic cm. Find the radius and slant height of the cone. (Take π = 3.14) 


There are two cones. The curved surface area of one is twice that of the other. The slant height of the latter is twice that of the former. Find the ratio of their radii. 


A heap of wheat is in the form of a cone of diameter 16.8 m and height 3.5 m. Find its volume. How much cloth is required to just cover the heap?


The total surface area of a right circular cone of slant height 13 cm is 90π cm2.

Calculate:  

  1. its radius in cm.
  2. its volume in cm3. [Take π = 3.14].

A solid metallic cone, with radius 6 cm and height 10 cm, is made of some heavy metal A. In order to reduce its weight, a conical hole is made in the cone as shown and it is completely filled with a lighter metal B. The conical hole has a diameter of 6 cm and depth 4 cm. Calculate the ratio of the volume of metal A to the volume of the metal B in the solid.


The cross-section of a railway tunnel is a rectangle 6 m broad and 8 m high surmounted by a semi-circle as shown in the figure. The tunnel is 35 m long. Find the cost of plastering the internal surface of the tunnel (excluding the floor) at the rate of Rs. 2.25 per m2.


In the following diagram a rectangular platform with a semi-circular end on one side is 22 metres long from one end to the other end. If the length of the half circumference is 11 metres, find the cost of constructing the platform, 1.5 metres high at the rate of Rs. 4 per cubic metres. 


The volume of a conical tent is 1232 m3 and the area of the base floor is 154 m2. Calculate the: height of the tent.


The volume of a conical tent is 1232 m3 and the area of the base floor is 154 m2. Calculate the:  length of the canvas required to cover this conical tent if its width is 2 m.


The surface area of a solid sphere is increased by 21% without changing its shape. Find the percentage increase in its: volume


The ratio of the base area and the curved surface of a conical tent is 40: 41. If the height is 18 m, Find the air capacity of the tent in terms of n.


A conical tent is accommodate to 11 persons each person must have 4 sq. metre of the space on the ground and 20 cubic metre of air to breath. Find the height of the cone.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×