Question

A conical tent requires 264 m² of canvas. If the slant height is 12 m, find the vertical height of the cone. 

Answer 1

Curved surface area of the tent= 264 m²

Slant height (I)= 12 m. 

⇒ `pirl` = 264

⇒ `22/7 xx r xx 12 = 264`

⇒ `r = (264 xx 7)/(22 xx 12)`

⇒ r = 7cm 

Let h be the vertical height. 

We know, 

`l^2 = r^2 + h^2`

⇒ `h = sqrt(l^2 - r^2)`

⇒ `h = sqrt(12^2 - 7^2)`

⇒ `h = sqrt(144 - 49) = sqrt(95)`

⇒ h = 9.75 m

Vertical height of cone = 9.75 m