Question

The curved surface area and the total surface area of the right circular cylinder are in the ratio of 5:9 find the ratio between its height and radius​

Answer 1

Answer:

$\frac{h}{r} = \frac{5}{4}$

Step-by-step explanation:

$\frac{csa}{tsa} = \frac{5}{9} \\ \\ \frac{2 \pi \times rh}{2\pi \times r(r + h)} = \frac{5}{9} \\ \\ \frac{h}{r + h} = \frac{5}{9} \\ \\ 9h = 5r + 5h \\ \\ 4h = 5r \\ \frac{h}{r} = \frac{5}{4}$