Question

if the ratio of the total surface area to the curved surface area of the cylinder is 5:3 and radius of the cylinder is 12cm then height of the cylinder is​

Answer 1

answer.

$\frac{tsa}{csa} \: = \: \frac{5}{3} \\ \frac{2\pi r(r + h)}{2\pi \: rh} = \frac{5}{3} \\ \frac{r + h}{h} = \frac{5}{3}$

here r is 12 cm

$\frac{12 + h}{h} = \frac{5}{3} \\ 36 + 3h = 5h \\ h = 18cm$

so, the height of cylinder is 18 cm

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Answer 2

Answer:

Height is 569/33cm which is approx. 18cm.

Step-by-step explanation:

The explanation is there in the above link.