Question

the area of the curved surface of a cylinder is 4400 CM square and the circumference of its base is 110 CM find the height of the cylinder​

Answer 1

$\huge\bf\boxed{Answer♤}$

$\small\tt{Circumference\:of\:base=110cm}$

$\small\tt{2}$$\pi$${r=110cm}$

$\small\tt{2}$×${\frac{22}{7}}$×${r=110cm}$

$\frac{44}{7}$${×r=110cm}$

$\small\tt{r=17.5 cm}$

━━━━━━━━━━━━━━━

$\small\tt{C.S.A\:of\:cylinder=4400cm^2}$

$\small\tt{2}$$\pi$$\small{r\:h=4400cm^2}$

$\small\tt{2×}$${\frac{22}{7}}$$\small\tt{×17.5×h=4400cm^2}$

$\frac{44}{7}$$\small\tt{×17.5×h=4400cm^2}$

$\frac{770}{7}$$\small\tt{×h=4400cm^2}$

$\small\tt{100h=4400cm^2}$

$\rightarrow$$\small\tt{h=40cm}$

━━━━━━━━━━━━━━━

$\small\tt{Volume=}$$\pi$$\small\tt{\:r^2\:h}$

$\small\tt{Volume=}$$\frac{22}{7}$$\small\tt{×17.5×17.5×40}$

$\Rightarrow$$\small\tt{38500cm^2}$

━━━━━━━━━━━━━━━

━━━━━━━━━━━━━━━

$\large\boxed{Answer=38500cm^2}$