Question

Curved surface area of a cylinder is 1980 cm and radius of its base is 15 cm. Find the height of the cylinder. (π = 22/7)

Answer 1

Answer:

$Height \:of \: the \: cylinder = 21 \:cm$

Step-by-step explanation:

$\begin{gathered} Radius \: of \: the \: base \:of \: a \: cylinder (r) = 15\:cm\\Let \: the \: height = h \:cm \end{gathered}$

${ \large{ \boxed{ \red{ \underline{ \bf \:Area\: of \:Cylinder\:2πrh}}}}}$

CSA = 1980$\:cm^{2}\:(given)$

$\implies 2\times \pi rh=1980⟹2×πrh=1980$

$\implies 2\times \frac{22}{7} \times 15\times$

$\implies h = \frac{1980\times 7}{2\times 15\times 22}$

$\begin{gathered}\implies h = 3\times 7\\=21 cm \end{gathered}$

Therefore,.

$Height \:of \: the \: cylinder = 21 \:cm$