рдорд░рд╛рдареА

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 ЁЭЬЛ = 3.14). - Mathematics

Advertisements
Advertisements

рдкреНрд░рд╢реНрди

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 ЁЭЬЛ = 3.14). 

рдЙрддреНрддрд░

Diameter of heap d =9m 

Radius` =9/2m=4.5 m ` 

Height (h)=3.5m  

Volume of heap =`1/3pir^2h` 

=`1/3[3.14xx(4.5)^2xx3.5]m^3` 

=`74.18m^3` 

Slant height l`=sqrt(r^2+h^2)=sqrt((4.5)^2+(3.5)^2)` 

= 5.70m. 

Area of canvas required= CSA of cone 

=` pirl` 

=` 3.14xx4.5xx5.7m^2` 

= `80.54m^2`

 

shaalaa.com
  рдпрд╛ рдкреНрд░рд╢реНрдирд╛рдд рдХрд┐рдВрд╡рд╛ рдЙрддреНрддрд░рд╛рдд рдХрд╛рд╣реА рддреНрд░реБрдЯреА рдЖрд╣реЗ рдХрд╛?
рдкрд╛рда 20: Surface Areas and Volume of A Right Circular Cone - Exercise 20.2 [рдкреГрд╖реНрда реирез]

APPEARS IN

рдЖрд░рдбреА рд╢рд░реНрдорд╛ Mathematics [English] Class 9
рдкрд╛рда 20 Surface Areas and Volume of A Right Circular Cone
Exercise 20.2 | Q 9 | рдкреГрд╖реНрда реирез

рд╡реНрд╣рд┐рдбрд┐рдУ рдЯреНрдпреВрдЯреЛрд░рд┐рдпрд▓VIEW ALL [1]

рд╕рдВрдмрдВрдзрд┐рдд рдкреНрд░рд╢реНтАНрди

Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved surface area.

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

 


A conical tent is 10 m high and the radius of its base is 24 m. Find

  1. slant height of the tent.
  2. cost of the canvas required to make the tent, if the cost of 1 m2 canvas is тВ╣ 70.

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


The radius of a cone is 5 cm and vertical height is 12 cm. Find the area of the curved surface. 


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. 


If the radius of the base of a cone is halved, keeping the height same, what is the ratio of the volume of the reduced cone to that of the original cone?  


A cone of height 15 cm and diameter 7 cm is mounted on a hemisphere of same diameter. Determine the volume of the solid thus formed.


A solid metallic hemisphere of diameter 28 cm is melted and recast into a number of identical solid cones, each of diameter 14 cm and height 8 cm. Find the number of cones so formed.


The horizontal cross-section of a water tank is in the shape of a rectangle with semi-circle at one end, as shown in the following figure. The water is 2.4 metres deep in the tank. Calculate the volume of water in the tank in gallons.  

 


The radius and height of cone are in the ratio 3 : 4. If its volume is 301.44 cm3. What is its radius? What is its slant height? (Take π = 3.14)


The circumference of the base of a 10 m high conical tent is 44 metres. Calculate the length of canvas used in making the tent if the width of the canvas is 2m. (Take π = 22/7)


Share
Notifications

Englishрд╣рд┐рдВрджреАрдорд░рд╛рдареА


      Forgot password?
Use app×