Question

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

Answer 1

Hi friend
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Your answer
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Ratio of radius and height of a cylinder = 5:7

Volume of the cylinder= 550 cm³

Now,
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Let the radius and height be 5x and 7x respectively.

Then,
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π × r² × h = 550

22/7 × (5x)² × 7x = 550

22/7 × 25x² × 7x = 550

22/7 × 175x³ = 550

x³ =( 550×7)/(22×175)

x³ = 1

x = ³√ 1

x = 1

So,
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Radius = 5x = (5×1) cm = 5 cm

HOPE IT HELPS

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Answer 2

It is given that (Radius/height)= (5/7)
So, then let radius= 5x and height=7x
Volume of cylinder= πr²h=550cm³
Now, putting all values
550= π*(5x)²*(7x)
550= π*25x²*7x
550= π*175x³
Putting value of the=(22/7)
550= (22/7)*175x³
550= 25*22
550= 550x³
x³= 1
x=1
Radius=5x= 5*1=5cm
Height= 7x=7*1=7cm
Hope this helps you