Question

The ratio of the curved surface area and the total surface area of a cylinder is 2:5. Find the ratio of the radius and height of the cylinder.

your answer should be 3:2​

Answer 1

Answer:

1:1

Step-by-step explanation:

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Answer 2

Answer:

=> 3 : 2

Step-by-step explanation:

As per the data given in the question, we have to find the ratio of the radius and height of the cylinder.

Given ratio:-

Curved surface area and the total surface area of the cylinder is $2:5$,

As we know that,

The curved surface area of the cylinder $=2\pi rh$

Therefore, the total surface area $=2\pi rh+2\pi r^2$

As we have:

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

Cancelling the terms, we get

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

By cross multiplication we get:

$=>5h=2h+2r$

$=>5h-2h=2r$

$=>3h=2r$

Hence, the required ratio is $3:2.$