the radius and height of a cylinder are in the ratio 5:7 and its curved surface area is 5500 sq.cm . find its radius and height .
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Answered by
2
Answer:
7:12
Step-by-step explanation:
given r:h = 5:7
let r=5x and h=7x
volume=πr²h
550 = 22×5x×5x×7x/7
550 = 550x³
x³=1
x=1
radius = 5×1 = 5cm , height = 7cm
curved surface area = 2πrh=2×22×5×7/7=220cm²
total surface area = 2πr(r+h) = 2×22×5(5+7)/7 = 377.14cm²
ratio= 7:12
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