Question

A circus tent is cylindrical upto a height of 15m and conical above it. If the radius of the base is 28m and the slant height of the conical part is 35m. Find the total area of the canvass used in making the tent and the volume of air inside the tent.​

Answer 1

Answer:

Canvas required=3080m²

Volume of air inside the tent= 12320m³

Step-by-step explanation:

Given, height(h)=15m

           base radius(r)=28m

           slant height(l)=35m

Canvas required= CSA of the tent

                        => πrl  =>$\frac{22}{7}$*28*35 = 3080m²

Volume of air inside= $\frac{1}{3}$πr²h

                                 =>$\frac{1}{3}$*$\frac{22}{7}$*28²*15=12320m³

Answer 2

Answer:

Given : Cylindrical part; h = 15m, r = 28m

Conical part; l (slant height) = 35m, r = 28m

So, h = ✓l²-r² = ✓35²-28² = 21m

Now,

Total area of canvas used = Curved surface area of cylinder + curved surface area of come

= (2πrh) + (πrl)

= (2 × 22/7 × 28 × 15) + (22/7 × 28 × 35)

= 2640 + 3080

= 5720 m²

And

Volume of air used = volume of cylinder + volume of come

= πr²h + 1/3πr²h

= (22/7×28×28×15) + (1/3 ×22/7 ×28 ×28×21)

= 36960 + 17248

= 54208m³