Question

A circus tent is cylindrical to a height of 15 m and conical above it. If its base radius is28 m and the slant height of the conical portion is 35 m, find the area of canvas needed to make the tent and the volume of air inside the tent

Answer 1

Hey ! here is your answer !

height of the cylinder = 13 m

radius of base = 28 m

slant height of the conical portion = 35 m

canvas needed to make the tent = CSA of Cylinder + CSA of cone

= 2πrh + πrl

=2×22/7×28×15 +22/7×28×35

= (44×60)+(44×35)

=2640+1540

=4180 m2

4180 m2 canvas is needed to make the circus tent.

volume of the air inside the tent = volume of the cylinder + volume of the cone.

=πr2h +1/3πr2h

=(22/7×28×28×15) +

1/3×22/7×28×28×15)

= (88×28×15) + (22×20×28)

=36960+12320

=49280 m3

49280 m3 air is filled inside the tent.

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