Question

A conical tent is to accommodate 10 persons. Each person must have 7 m^2 space to sit and 25 m^3 to breathe. Find the height of the cone

Answer 1

Hey brother here is your answer

Let the radius of the conical tent be 'r' m & height be 'h' m.

Space on the ground required by each person = 7m^2

Area of base = (10× 7) m^2 = 70 m^2

Air required by each person to breathe =25 m^2

Volume of cone = 10 × 25 = 250 m^3

Area of the base of conical tent = πr^2

= 70 m^2

Hence, r = 4.72 m

Volume of cone = 250

=>1/3 πr^2 h = 250

=> h = 10.72 m

So, height of the cone is 10.72 m

Hope it’s helpful...

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Answer 2

Answer:

$Heya \: user \:$........❤

Let the radius of the conical tent be 'r' m & height be 'h' m.

Space on the ground required by each person = 7m^2

Area of base = (10× 7) m^2 = 70 m^2

Air required by each person to breathe =25 m^2

Volume of cone = 10 × 25 = 250 m^3

Area of the base of conical tent = πr^2

= 70 m^2

Hence, r = 4.72 m

Volume of cone = 250

=>1/3 πr^2 h = 250

=> h = 10.72 m

So, height of the cone is 10.72 m

Hope it’s helpful..... ☺