Question

the ratio of the the curve surface area and total surface area of a cylinder is 2:5 find the the ratio between its radius and height




please give me right answer tooo​

Answer 1

Answer:

Question

✳️the ratio of the the curve surface area and total surface area of a cylinder is 2:5 find the the ratio between its radius and height

Solution ⬇️

✍️ Curved surface of a cylinder=2πrh

✍️ total surface area = 2πrh + 2πr²

$=> given = \frac{2\pi \: r h}{2\pi \: rh + 2\pi \: r {}^{2} } = \frac{2}{5}$

$=> \frac{h}{h + r} = \frac{2}{5}$

✍️5h=2h+r

✍️5h-2h=r

✍️3h=r

$=> \frac{h}{r} = \frac{3}{1}$

✳️ Therefore,the required ratio is 3:1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

curved surface area of cylinder=2πrh

total surface area=2πrh+2πr square

given:2πrh/2πrh+2πr square

h/h+r=1/2

2h=h+r

h=r

h/2=1

required ratio h:r=1:1