Question

find the height of cylinder whose diameter is 42 cm and area of its curved surface is11880sq.cm​

Answer 1

Height of the cylinder is 90 cm
Hope you can understand

Answer 2

Given :

• Diameter of Cylinder = 42cm.
• C.S.A of Cylinder = 11880 cm².

To Find :

• Height of Cylinder.

Solution :

$\longmapsto\tt{Diameter=42cm}$

$\longmapsto\tt{Radius=\cancel\dfrac{42}{2}=21cm}$

Using Formula :

$\longmapsto\tt\boxed{C.S.A\:of\:Cylinder=2\pi{rh}}$

Putting Values :

$\longmapsto\tt{11880=2\times\dfrac{22}{7}\times{21}\times{h}}$

$\longmapsto\tt{11880=44\times{3}\times{h}}$

$\longmapsto\tt{11880=132h}$

$\longmapsto\tt{h=\cancel\dfrac{11880}{132}}$

$\longmapsto\tt\bold{h=90}$

So , The Height of the cylinder is 90cm..

_______________________

• C.S.A of Cylinder = 2πrh
• T.S.A of Cylinder = 2πr(r+h)
• Volume of Cylinder = πr²h

_______________________