A tailor has a piece of canvas whose area is 552 msquare He uses it to make a conical tent - Maths -

Question

A tailor has a piece of canvas whose area is 552 msquare He uses
it to make a conical tent with base radius 7m Assuming that all
stitching margins and wastage is 2msquare Find the volume of the
tent that can be made with it

Varun.Rawat · Accepted Answer

Area of the total piece of cloth = 552
mâ€‹2
area of cloth wasted = 2 m2
area left for making tent = 550 m2
radius of base, r = 7 m
Let height = h
Let slant height = l
CSA = 550 ⇒πrl = 550⇒227×7×l =
550⇒l = 25 mnow, h = l2 - h2 ⇒h = 625 - 49 = 576 = 24
mvolume of tent = 13πr2h = 13×227×49×24 =
1232 m3

A tailor has a piece of canvas whose area is 552 msquare.He uses it to make a conical tent with base radius 7m. Assuming that all stitching margins and wastage is 2msquare. Find the volume of the tent that can be made with it