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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 .

Answers (1)

D Deependra Verma

Solution: Let the radius of the base and height of the cylinder be 5 $x$ cm and 7 $x$ 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 = 5 $x$ cm = $(5 imes1)cm=5cm.$

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