Question

The find the curved surface area and the total surface area of cylinder the diameter whose base is 14cm and hieght is 40cm

Answer 1

Curved surfaces area= 1,760

Total surface area=2,068

Answer 2

Given :

• Diameter of base = 14cm
• Height = 40cm

To Find :

• Curved Surface area of cylinder
• Total Surface Area of Cylinder

Solution :

$\longmapsto\tt{Diameter=14cm}$

$\longmapsto\tt{Radius=\cancel\dfrac{14}{2}=7}$

$\longmapsto\tt{Height=40cm}$

Using Formula :

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

Putting Values :

$\longmapsto\tt{2\times\dfrac{22}{\cancel{7}}\times{\cancel{7}}\times{40}}$

$\longmapsto\tt{44\times{40}}$

$\longmapsto\tt\bold{1760{cm}^{2}}$

So , C.S.A of Cylinder is 1760cm²...

━━━━━━━━━━━━━━━━━━━━

For T.S.A of Cylinder :

Using Formula :

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

Putting Values :

$\longmapsto\tt{2\times\dfrac{22}{7}\times{7}(7+40)}$

$\longmapsto\tt{2\times\dfrac{22}{\cancel{7}}\times{\cancel{7}}(47)}$

$\longmapsto\tt{44\times{47}}$

$\longmapsto\tt\bold{2068{cm}^{2}}$

So , T.S.A of Cylinder is 2068cm²..