Question

A conical tent is being required to accommodate 7 persons each person being requires 22dm^3 of space on the floor and 176dm m^3 of air to breathe. Find the vertical height slant height and the width of the plot​

Answer 1

Step-by-step explanation:

Area of space for 1 person = 22 sq.dm.

Area of space for 7 persons = 22 × 7

Base area = 154 sq.dm

Air space for 1 person = 176 cu.dm.

Air space for 7 persons = 176 × 7

= 1232 cu.dm

Volume of air in the tent = 1232 cu.dm.

⅓ × Base area × height = 1232

⅓× 154 × height = 1232

Height = (1232 × 3) ÷ 154

= 24

Height = 24 dm

154 = Area of Circle

154 = π r²

154 π = r²

49 = r²

7 = r

Radius = 7

Diameter = 14

Slant height² = height² + radius²

24² + 7² = Slant height²

576 + 49 = 625

√625 = 25

Slant Height = 25

Answer 2

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