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The Vertical Height of a Conical Tent is 42 Dm and the Diameter of Its Base is 5.4 M. Find the Number of Persons It Can Accommodate If Each Person is to Be Allowed 29.16 Cubic Dm. - Mathematics

Answer in Brief

The vertical height of a conical tent is 42 dm and the diameter of its base is 5.4 m. Find the number of persons it can accommodate if each person is to be allowed 29.16 cubic dm.

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Solution

Radius of conicaltent, `r = (5.4)/2`

                                     ` = 2.7 m`

                                     `= 27 dm`

Height of conical tent h = 42 dm

The volume of conical tent

`=1/3 pi r^2 h`

`=1/3 xx 22/7 xx 27 xx 27 xx  42 `

`= 22 xx 27 xx 27 xx 2`

`  = 32076 dm^3`

Since, each person is to be allowed 29.16 dm3,

Therefore,

`="volume of conical tent"/"place to be allow to each person"`

` = (32076)/(29.16)`

` = (3207600)/(2916)`

No. of person = 1100

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Q 12 | Page 81
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