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  • The radius and height of a cylinder are in the ratio 5:7 and its volume is 550cm^3. Find its radius .

The radius and height of a cylinder are in the ratio 5:7 and its volume is 550cm^3. Find its radius .

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Solution: Let the radius of the base and height of the cylinder be 5x cm and 7x cm respectively. Then,

               Volume =pi r^2h =550 cm^3

                            =frac227 imes (5x)^2 imes 7x = 550

Rightarrow                       frac227 imes 25x^2 imes 7x= 550Rightarrow 22 imes 25x^3=550

Rightarrow                     550x^3=550Rightarrow x^3=1Rightarrow x=1cm

     Hence , radius of the cylinder = 5x cm = (5 imes1)cm=5cm. 

Posted by

Deependra Verma

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