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