Question

a conical tent has radius 7m and Height 24m find the volume of air inside it also find the length of tarpaulin cloth 10m wide required to make it

Answer 1

Here's your answer.
Hope it helps and if so..
Please mark it Brainliest

Answer 2

Volume of air inside the conical tent is 1232 m³.

Length of tarpaulin cloth required is 55 m.

Step-by-step explanation:

Given:

Radius of conical tent is, $r=7\ m$

Height of conical tent is, $h=24\ m$

Width of tarpaulin is, $b=10\ m$

Let the length of tarpaulin be $l$ m.

Volume of air inside a conical tent will be equal to volume of the conical tent. As the tent is conical in shape, therefore the volume is equal to the volume of a cone. Therefore,

Volume of air inside the tent is given as:

$V=\frac{1}{3}\times \pi\times r^2\times h\\\\V=\frac{1}{3}\times \frac{22}{7}\times 7^2\times 24\\\\V=22\times 7\times 8=1232\ m^3$

Therefore, the volume of the sir inside the tent is 1232 m³.

Now, area of tarpaulin cloth required is equal to the surface area of the conical tent which is given as:

$SA=\pi\times r\times \sqrt{(r^2+h^2)}\\\\SA=\frac{22}{7}\times 7\times \sqrt{7^2+24^2}\\\\SA=22\times 25\\\\SA =550\ m^2$

Now, area of tarpaulin is equal to the product of its length and width.

Therefore, area of tarpaulin is given as:

$l\times b=550\\\\l\times 10=550\\\\l=\frac{550}{10}=55\ m$

So, the length of tarpaulin required is 55 m.