Question

The diameter of cylinder is 36 cm. and it's volume 14256 cubic cm. find height of cylinder?​

Answer 1

$\bigstar\:\:\rm\orange{GIVEN}\:\:$

• The Diameter of the Cylinder is 36cm

$\sf{Radius=\dfrac{\cancel{36}}{\cancel{2}}}$

$\bigstar\:\:\rm\pink{TO\:FIND}\:\:$

• The height of the cylinder

$\bigstar\:\:\rm\red{FORMULAE\:USED}\:\:$

${\boxed{\bf{\green{Volume\:of\: cylinder={\red{π r^{2}h}}}}}}$

Now,

Volume of Cylinder = πr²h.

$\implies\rm\green{14256=\dfrac{22}{7}\times{(18)}^{2}(h)}$

$\implies\rm\blue{14256=\dfrac{22}{7}\times{324h}}$

$\implies\rm\red{h=\dfrac{\cancel{14256}\times{7}}{\cancel{324}\times{22}}}$

$\implies\rm\blue{h=\dfrac{\cancel{44}\:^{2}\times{7}}{\cancel{22}}}$

$\implies\rm\blue{h=2\times{7}=14cm}$

Thus, The height of the cylinder is 14cm.