# The radius and height of a cylinder are in the ratio 5:7 the volume is 550 cm² find its diameter

2

2015-03-01T17:40:11+05:30

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R:h=5:7
V=550cm²
d=?

V=πr²h
550=22/7×5y×5y×7y
550×7÷22=25y²×7y
1=y³
y=1cm

⇒r =5cm
d =2r
=2×5
=10cm

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itz k
2015-03-01T17:40:35+05:30

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let radius be 5x and height be 7x

V of Cylinder = π  h

550 = 22/7 * 5x * 5x * 7x
550 * 7/22 = 175
25 * 7 * 1/175 =
175/175
1 =
x = 1

Sub x , radius = 5cm and height = 7cm