Question

if the curved surface area of a solid right circular cylinder of height H and radius R is one third of its total surface area then find h

Answer 1

Answer : $\bf\huge\frac{r}{2}$

Step-by-step explanation:

According to the Question

$\bf\huge\texttt2\pi rh = \frac{1}{3}\times2\pi\texttt r(r+h)$

$\bf\huge h = \frac{1}{3} (r+h)$

$\bf\huge\texttt 3h = r + h$

$\bf\huge\texttt 3h - h = r$

$\bf\huge\texttt 2h=r$

$\bf\huge\texttt h = \frac{r}{2}$