Question

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.

Answer 1

Answer:

The Number of persons a conical tent can accommodate is  1100.

Step-by-step explanation:

SOLUTION :  

Given :  

Vertical height of a conical tent ,h = 42 dm

Diameter of a conical tent = 5.4 m = 5.4 × 10 dm = 54 dm  

[1m = 10 dm]

Radius of a conical tent, r = 54/2 = 27 dm

Volume occupied by 1 person = 29.16 dm³

Volume of a conical tent = 1/3πr²h

= ⅓ × 22/7 × 27 × 27 × 42

= 22 × 27 × 27 × 2 = 32076 dm³

Volume of a conical tent = 32076 dm³

Number of persons a conical tent can accommodate = Volume of a conical tent / Volume occupied by 1 person

Number of persons a conical tent can accommodate = 32076/29.16 = 3207600/2916

= 1100

Hence, the Number of persons a conical tent can accommodate is  1100.

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

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