6. The radius and height of a cylinder are in the ratio 5 : 7 and its volume is 550 cm. Find its radius
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Step-by-step explanation:
volume of the cylinder=550 cm
let, the radius of the cylinder be 5x
the height of the cylinder be 7x
volume of cylinder = πr²h
=> 550 = 22/7*(5x)²*7x
=> 550 = 22*25x³
=> 550 = 550x³
=> x³ = 550/550
=> x³ = 1
=> x = 1
hence, radius of the cylinder = 5x = 5×1 = 5
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