Question

 3) The total surface area of a cylinder of radius 14 cm is 3872 cm2. Find its height.      
answer fast​

Answer 1

Answer:

Suppose, the radius of the cylinder r cm

and height h cm

NOW,

2πr(h+r) = 3872

or, 2×(22/7)×14(h+14) = 3872

or, h+14= 3872×7/(22×2×14)

or, h = 44-14

or, h = 30

:• the hight is 30 cm

Answer 2

Given :

• Total Surface Area of a Cylinder is 3872cm².
• Radius of Cylinder is 14cm.

To Find :

• Height of Cylinder

Solution :

$\longmapsto\tt{Radius(r)=14cm}$

Using Formula :

$\longmapsto\tt\boxed{T.S.A\:of\:Cylinder=\pi{{r}^{2}h}}$

Putting Values :

$\longmapsto\tt{3872=2\times\dfrac{22}{\cancel{7}}\times{\cancel{14}}(14+h)}$

$\longmapsto\tt{3872=88(14+h)}$

$\longmapsto\tt{\cancel\dfrac{3872}{88}=14+h}$

$\longmapsto\tt{44-14=h}$

$\longmapsto\tt\bold{h=30}$

So , The height of Cylinder is 30cm...

_______________________

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

_______________________