answr
Join / Login
maths

A military tent of height 8.25 m is in the form of a circular cylinder of base diameter 30 m and height 5.5 m surmounted by a right circular cone of same base radius.Find the length of canvas used in making the tent,if the breath of the canvas is 1.5 m.

Answer

A military tent is made as a combination of right circular and right circular cone on top.
 Given:
 Total height of tent = h = 8.25 m
 Base diameter of tent = 30 m, then
 Base radius of tent = r = 30/2 m = 15 m
 Height of right circular cylinder = 5.5 m
 Base radius of cone = 15 m
 Base radius of cone = 15 m
 Let slant height of cone = I m
 Now,
 Curved surface area of right circular part of tent =
 and 
 Height of conical part = total height of tent - height of cyclindrical part 
 height of cone = 8.25 = 5.5 = 2.75 m
 
 = 232.5625
 or I = 15.25 m
 Curved surface area of conical part of the tent =
 Total surface area of the tent = Curved surface area of cylindrical part + curved surface area of conical part
 Total surface area of tent =
 
 =
 = 1237.5
 Total surface area of tent is
 Length of canvas used = 1.5 m
 Length of canvas used x breadth of canvas used = Total surface area of tent 
 length of canvas used = 1237.5 /1.5 = 825
 Length of canvas used is 825 m. 

Answer verified by Toppr

Upvote (0)
Was this answer helpful?

Related questions

The circumference of the base of a 9 m high wooden solid cone is 44 m The slant height of the cone is

View solution

The total surface area of a conical jar is . If its slant height is two times the radius, then what is the base diameter of the colical jar? (use ).

View solution

For traffic control, a CCTV camera is fixed on a 8m straight pole. The camera can see 17m distance sight line from the top. Find the area visible by the camera around the pole?

View solution

The height of a tent is m. It's base diameter is m. What is its slant height. Find the approximate cost of canvas cloth required if it costs Rs. per sq. m.

View solution

The diameter of a cone is cm and its slant height is cm. Find its curved surface area.

View solution

The total surface area of a cone whose radius is and slant height  is :

View solution

Find the surface area of a conical hat. If its slant height is three times the radius, the base diameter of a hat is inches. (Use )

View solution

A conical tent was erected by army at a base camp with height m and base diameter m. Find :
(i) The cost of canvas required for making the tent, if the canvas cost Rs. per sq. m.
(i) If every person requires m air, how many can be seated in that tent.

View solution

Find the ratio of the curved surface areas of two cones if their diameters of the bases are equal and slant heights are in the ratio .

View solution

The curved surface area of a cone is  whose radius is m. Find the surface area of a cone. (Assume )

View solution
View solution
View solution
View solution
View solution
View solution
View solution
View solution
View solution
View solution
View solution

View more

Create custom Assignments
Customize assignments and download PDF’s
Make now

Learn with content

Watch learning videos, swipe through stories, and browse through concepts

  • Concepts
  • Videos
  • Stories

Take Toppr Scholastic Test for Aptitude and Reasoning

Win exciting scholarships and plan a great education plan