Question

the ratio between curved surface area and total surface area of a right circular cylinder is 2:3. find ratio between height and radius of cylinder​

Answer 1

Answer: 2 : 1

Explanation:

Consider height = h and radius = r

Curved surface area = 2πrh

Total surface area = 2πrh + 2πr² = 2πr(h + r)

Since the ratio between curved surface area and total surface area is 2:3,

$\frac{2\pi rh}{2\pi r(h+r)}=\frac{2}{3}$

$\Rightarrow 3h=2(h+r)$

$\Rightarrow 3h-2h=2r$

$\Rightarrow h=2r$

$\Rightarrow \frac{h}{r}=2$

The ratio between height and radius of cylinder is 2 : 1

Hope it helped