Question

The circumference of the base of a cylinder is 88cm and its height is 65cm.Find its lateral surface area​

Answer 1

Given :

• Circumference of the base of a cylinder is 88 cm .
• Height of Cylinder is 65 cm .

To Find :

• Lateral surface Area of Cylinder .

Solution :

Firstly we'll find Radius of Cylinder :

Using Formula :

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

Putting Values :

$\longmapsto\tt{88=2\times\dfrac{22}{7}\times{r}}$

$\longmapsto\tt{88\times{7}=2\times{22}\times{r}}$

$\longmapsto\tt{616=44\:r}$

$\longmapsto\tt{\cancel\dfrac{616}{44}=r}$

$\longmapsto\tt\bf{14\:cm=r}$

Now ,

For Lateral Surface Area :

Using Formula :

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

Putting Values :

$\longmapsto\tt{2\times\dfrac{22}{{\cancel{7}}}\times{{\cancel{14}}}\times{65}}$

$\longmapsto\tt{88\times{65}}$

$\longmapsto\tt\bf{5720\:{cm}^{2}}$

So , The Lateral Surface Area of Cylinder is 5720 cm² .

Answer 2

Answer:

Question ;-

The circumference of the base of cylinder is 88 cm and its height is 65 cm .Find its lateral surface area .

Answer ;-

The lateral surface area of the cylinder is 5720cm^2.

Solutions ;-

According to the given question we should need to find the lateral surface area of cylinder .

So,

Here as we know one formula that is

• Circumference of circle =2 × pi × r

According to This formula let's find the value of r .

Now applying all the values we get ,

• 88 = 2 × 22/7 × r

• 88 ×7 =44 r

• 616 = 44 r

• 616/44 = r

• r =14cm .

Then,

• Lateral surface area of cylinder = 2 pi × r × h

• But here we already know all the values lets apply.

• Lateral surface area of cylinder =2 × 22/7 × 14 ×65

• Lateral surface area of cylinder =5720cm^2.

$\large \dag$ Thank you.