Question

A teacher arranges a night camp for her students.She has 10 piesces of canvas each of whose area is 551 sq.m.She uses them to make conical tents,with base radius 7 cm so that students can be accomodated in these tents. Assuming that all the stitching margins and the wastage incurred while cutting,amounts to approximately 1 m sq.
Find the volume of the tent that can be made with it.

Answer 1

Step-by-step explanation:

Given A teacher arranges a night camp for her students. She has 10 pieces of canvas each of whose area is 551 sq.m. She uses them to make conical tents,with base radius 7 cm so that students can be accommodated in these tents. Assuming that all the stitching margins and the wastage incurred while cutting, amounts to approximately 1 m sq.Find the volume of the tent that can be made with it.

• The teacher has 10 pieces of canvas of area 551 sq m. Using this canvas she makes a tent of radius 7 m.
• During this process 1 sq m of canvas got wasted
• So the tent is made from the canvas of area 551 sq m – 1 sqm
•                                                                              = 550 sq m will be the curved surface area of the tent.
• Now curved surface area of cone = π r l
•                                 So πrl = 550
•                                    So 22/7 x 7 x l = 550 (since radius = 7 m)
•                                        22 l = 550
•                                             l = 550 / 22
•                                            l = 25 m
•      Now l^2 = h^2 + r^2
•                 625 = h^2 + 49
•                    h^2 = 625 – 49
•                     h^2 = 576
•                    h = 24 m
•   Volume of the tent = 1/3 π r^2 h
•                                      = 1/3 x 22/7 x 7 x 7 x 24
•                                       = 22 x 7 x 8
•                                       = 1232 cu m

Reference link will be

https://brainly.in/question/15316419