Question

the circumference of the base of a cylinders is 30.8cm .its curved surfce area is 289.52cm2 find the height of the cylinder ​

Answer 1

Given :

• Circumference of the base of Cylinder is 30.8 cm .
• Curved Surface Area is 289.52 cm² .

To Find :

• Height of Cylinder .

Solution :

Firstly we will find Radius :

Using Formula :

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

Putting Values :

$\longmapsto\tt{\dfrac{308}{10}=2\times\dfrac{22}{7}\times{r}}$

$\longmapsto\tt{308\times{7}=44\times{10}\times{r}}$

$\longmapsto\tt{2156=440r}$

$\longmapsto\tt{r=\cancel\dfrac{2156}{440}}$

$\longmapsto\tt\bf{r=4.9\:cm}$

Now ,

$\longmapsto\tt{Radius=4.9\:cm}$

Using Formula :

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

Putting Values :

$\longmapsto\tt{\dfrac{28952}{100}=2\times\dfrac{22}{{\cancel{7}}}\times\dfrac{{\cancel{49}}}{10}\times{h}}$

$\longmapsto\tt{\dfrac{28952}{100}=\dfrac{44\times{7}\times{h}}{10}}$

$\longmapsto\tt{\dfrac{28952}{100}=\dfrac{308\:h}{10}}$

$\longmapsto\tt{h=\dfrac{{\cancel{28952}}\times{1{\not{0}}}}{{\cancel{308}}\times{10{\not{0}}}}}$

$\longmapsto\tt{h=\dfrac{94}{10}}$

$\longmapsto\tt\bf{h=9.4\:cm}$

So , The Height of Cylinder is 9.4 cm ...

Answer 2

Answer:

height of cylinder =9.4

Step-by-step explanation:

Circumference of cylinder is 30.8cm. ...(1)

Curved surface area of cylinder is 289.52cm². .....(2)

Using equation from (1)

30.8=h×289.52

h=30.8÷289.52

h=9.4cm

There is final answer of my question