Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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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 - Mathematics

Sum

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

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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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APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 7 Mensuration
Exercise 7.1 | Q 5 | Page 282
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