Question

If the circumference of the base of a right circular cylinder is 110 cm , and its height is 5cm , then its curved surface area will be :​

Answer 1

Step-by-step explanation:

Given,

circumference = 110cm

cicumfernce = 2pier

2pier=110

r = 110×7/22×2

r =35/2cm

curved surface area =2pierh

=2×22×35×5/7×2

=22×25

= 550cm²

Answer 2

Given :

• Circumference of base of Cylinder is 110 cm.
• Height of Cylinder is 5 cm.

To Find :

• Curved Surface Area of Cylinder.

Solution :

Firstly we will find the Radius :

Using Formula :

$\longmapsto\tt\boxed{Circumference\:of\:Cylinder=2\pi{r}}$

Putting Values :

$\longmapsto\tt{110=2\times{22}{7}\times{r}}$

$\longmapsto\tt{110\times{7}=44\times{r}}$

$\longmapsto\tt{770=44r}$

$\longmapsto\tt{r=\cancel\dfrac{770}{44}}$

$\longmapsto\tt\bf{r=17.5\:cm}$

So , The Radius of the Circular Cylinder is 17.5 cm..

Now ,

$\longmapsto\tt{Radius=17.5}$

$\longmapsto\tt{Height=5\:cm}$

Using Formula :

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

Putting Values :

$\longmapsto\tt{{\cancel{2}}\times\dfrac{22}{7}\times\dfrac{175}{{\cancel{10}}}\times{{\cancel{5}}}}$

$\longmapsto\tt{\dfrac{22\times{175}}{7}}$

$\longmapsto\tt{\cancel\dfrac{3850}{7}}$

$\longmapsto\tt\bf{550\:{cm}^{2}}$

So , The Curved Surface Area of Cylinder is 550 cm²..