Question

A circus tent consists of a cylindrical base surmounted by a conical roof. The radius of the base is 20m. If the height of the tent is 63m and that of the conical part is 21m, find the volume of the tent. Also find the amount of canvas required to make this tent.

Answer 1

the volume is 3080 cubic metre and the Canvas required is 7102.85 square metre...





hope this helps you

Answer 2

Answer:

$V=87920m^3$

$A=9734m^2$

Step-by-step explanation:

Given : A circus tent consists of a cylindrical base surmounted by a conical roof. The radius of the base is 20m. If the height of the tent is 63m and that of the conical part is 21m.

To find : The volume of the tent also find the amount of canvas required to make this tent?

Solution : Radius of the base is r=20 m

Height of the tent h=63 m

Height of the conical part is H=21 m

Volume of the tent = Volume of cylinder + Volume of the cone

$V=\pi r^2h+\frac{1}{3}\pi r^2H$

$V=\pi r^2(h+\frac{1}{3}H)$

$V=3.14\times20\times 20(63+\frac{1}{3}\times21)$

$V=87920m^3$

Now, the slant height is

$l=\sqrt{r^2+h^2}$

$l=\sqrt{400+441}$

$l=\sqrt{841}$

$l=29$

Curved surface area of the tent = area of cylinder + Area of cone

$A=2\pi rh+\pi rl$

$A=\pi r(2h+l)$

$A=3.14\times20(2(63)+29)$

$A=9734m^2$