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Question
4 persons live in a conical tent whose slant height is 19 cm. If each person requires 22 cm2 of the floor area, then find the height of the tent
Solution
Slant height of a cone (r) = 19 cm
Floor area for 4 persons = 4 × 22 cm2
πr2 = 88 cm
`22/7 xx "r"^2` = 88
r2 = `(88 xx 7)/22`
r2 = 28
h = `sqrt("l"^2 - "r"^2)`
= `sqrt(19^2 - 28)`
= `sqrt(361 - 28)`
= `sqrt(333)`
= 18.248
Height of the tent = 18.25 cm
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