Question

Find the height of the cylinder if its curved surface area is $352$sq.cm and radius is $3.5$cm

Answer 1

Given : Curved surface area $=352sq.cm$

radius $=3.5cm$

Curved surface area of the cylinder$=2\pi rh$

$\Rightarrow 2\times \frac{22}{7}\times 3.5h=352$

$\Rightarrow h=352\times \frac{1}{2}\times \frac{1}{3.5}\times \frac{7}{22}$

$h=176\times \frac{7}{22}\times \frac{10}{35}$

$h=8\times 7\times \frac{10}{35}=16cm$

$\therefore$ height of the cylinder is $16cm$