Question

if the leteral surface of a cylinder is 188.4 cm²and its high is 5 cm, then find its volume​

Answer 1

$\huge\mathcal\colorbox{lavender}{{\color{b}{✿Yøur-Añswer♡}}}$

$\large\bf{\underline{\red{141.3cm^3}}}$

prefer the above attachment

$\boxed{I \:Hope\: it's \:Helpful}$

${\sf{\bf{\blue{@ℐᴛz Sam࿐}}}}$

Answer 2

Answer:

hi

Step-by-step explanation:

hello

Given :

Lateral Surface Area of Cylinder is 94.2 cm² .

Height of Cylinder is 5 cm .

To Find :

Radius of its base .

Volume of Cylinder (π = 3.14)

Solution :

Firstly we will find Radius :

Using Formula :

{C.S.A\:of\:Cylinder=2\pi{rh}}⟼

C.S.AofCylinder=2πrh

Putting Values :

94.2={\cancel{2}}\times\dfrac{314}{{\cancel{100}}}\times{r}\times{{\cancel{5}}}}⟼94.2=

2

×

100

314

×r×

5

r=\dfrac{942\times{{\cancel{10}}}}{314\times{{\cancel{10}}}}}⟼r=

314×

10

942×

10

{r=\cancel\dfrac{942}{314}}⟼r=

314

942

{r=3\:cm}⟼r=3cm

So , The Radius of Cylinder is 3 cm ...

Now ,

{Radius=3\:cm}⟼Radius=3cm

{Height=5\:cm}⟼Height=5cm

Using Formula :

boxed{Volume\:of\:Cylinder=\pi{{r}^{2}h}}⟼

VolumeofCylinder=πr

2

h

Putting Values :

{\dfrac{314}{100}\times{3}\times{3}\times{5}}⟼

100

314

×3×3×5

14130}{100}}⟼

100

14130

141.30\:{cm}^{3}}⟼141.30cm

3

So , The Volume of Cylinder is 141.30 cm³ ...