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

Answer 1

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