a circus tent is cylindrical to a height of 3metres and conical above it .if its diameter is 105m and the slant height of the conical portion is 53m ,calculate the length of canvas 5m wide to make the required tent.

Question

Answer

Calculation of Length of Canvas for a Circus Tent

Given:

Diameter of the tent = 105m

Height of the cylindrical portion = 3m

Slant height of the conical portion = 53m

Width of the canvas = 5m

Calculating the Radius and Height of the Tent

Radius of the tent = Diameter / 2 = 105 / 2 = 52.5m

Height of the conical portion = Total height - Height of cylindrical portion = 53 - 3 = 50m

Total height of the tent = Height of cylindrical portion + Height of conical portion = 3 + 50 = 53m

Calculating the Curved Surface Area of the Tent

Curved surface area of the cylindrical portion = 2πrh = 2 * 22/7 * 52.5 * 3 = 330m^2

Curved surface area of the conical portion = πrl = 22/7 * 52.5 * 53 = 9198.75m^2

Total curved surface area of the tent = Curved surface area of cylindrical portion + Curved surface area of conical portion = 330 + 9198.75 = 9528.75m^2

Calculating the Length of Required Canvas

Length of required canvas = Total curved surface area * Width of canvas = 9528.75 * 5 = 47643.75m^2

Final Answer

The length of canvas required to make the circus tent is 47643.75m^2.

Answer

let the length of canvas be l metre.Required area for canvas for tent =AR of rect. 2πrh+πrl=l*5l=1947m

Answer

diameter= 105 , therefore radius will be 52.5 .   Now,total cloth needed=csa of cylinder+ csa of cone that is 2πrh+πrlthat is 2×22/7×52.5×3+ 22/7×52.5×53that is 990+8745that is equal to9735msq.ATQwidth of canvas= 5mthis implies length of cloth = l×bthat is 9734= l× 5 9734/5 = l1947 m = lthis implies length of canvas will be 1947 m

Answer

hii

Answer

its OK thanks

Answer

which exercise is this

Answer

class

Answer

wait for 2mins

Answer

ok

Answer

SORRY but I am confused

Similar Class 9 Doubts

Find what lenght of the canvas 2m in widthis required to make a conical tent 20m in diameter and 42m in slant height allowing 10%for folds and stitching

A cylindrical tank of diameter 7 M and height 10 M is connected with a cylindrical pipe of area of cross section 154 cm square if the water flow in the pipe is 6 km per hour find how much time will it take to fill the tank completely?

2.2 cu dm of brass is to be drawn into a cylindrical wire of diameter 0.50 cm. Find the length of the wire. Your answer?

Please help me in this question: A cylindrical pillar is 50 cm in diameter and 3.5m in height. Find the cost of painting the curved surface of the pillar at the rate of Rs 12.50 per m^2?

Top Courses for Class 9View all

Science Class 9

Social Studies (SST) Class 9

Mathematics (Maths) Class 9

English Class 9

English Grammar Advanced

Top Courses for Class 9

Top Courses for Class 9

Suggested Free Tests

Related Content

Class 9 Study Material

Class 9 Subjects

Competitive Examinations for Class 9

NCERT Books

NCERT Solutions

Reference Books for Class 9

Other Popular Exams

Company