the length of canvas 1 1 m wide will be required to..., Area & Volume, General Mathematics

Question:The length of canvas `1.1` m wide will be required to build a conical tent of height `14` m and the floor area `346.5` m is :

A `525 m` 
B `490 m` 
C 665 m` 
D `860 m`

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+ AnswerA

+ Explanationπr^2 = 346.5 ⇒ r^2`

`= 346.5 xx 7/22`

`= 441/4 ⇒ r = 21/2.`

:. l = √r^2 + h^2`

`= √ 441/4 + (14)^2`

`= √1225/4`

`= 35/2`

:. Area of canvas needed 

`= πrl = (22/7 xx 21/2 xx 35/2) m^2`

`= ((33 xx 35)/2) m^2`

:. Length of canvas 

`= ((33 xx 35)/(2 xx 1.1)) m`

`= 525 m.`

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