A circus tent consists of cylindrical base surmounted by a conical roof. The radius of the cylinder is 20 m. The height of the tent is 63 m and that of the cone is 21 m. Find the volume of the tent and the area of the canvas used for making it.
Height of the tent = height of the cylinder + height of the cone.
Given, height of the cone (H) = 21 m
height of cylindrical base(h) = 63 - 21 = 42 m
Radius of the cylinder (r)= radius of the cone(r) = 20 m
∴ Volume of the circus tent = Volume of the cylinder + volume of the cone.
=πr2h +
πr2 Η = πr2 (h+
)
=
x 400(42 + 7)
= 61600 m3
Slant height of the cone =
= 29
Now, area of the canvas in making the tent
= curved surface area of the cylinder + Curved surface area of the cone
= 2πrh + πrl
= πr(2h + l)
=
x 20(84 + 29)
= 7102.85 m2.
Given, height of the cone (H) = 21 m
height of cylindrical base(h) = 63 - 21 = 42 m
Radius of the cylinder (r)= radius of the cone(r) = 20 m
∴ Volume of the circus tent = Volume of the cylinder + volume of the cone.
=πr2h +
=
= 61600 m3
Slant height of the cone =
Now, area of the canvas in making the tent
= curved surface area of the cylinder + Curved surface area of the cone
= 2πrh + πrl
= πr(2h + l)
=
= 7102.85 m2.
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