Question

the curved surface area of a cylinder of height 28 cm is 352 sq. cm find the diameter of the base of the cylinder​

Answer 1

Given :

⬤ C.S.A of Cylinder is 352 cm².

⬤ Height of Cylinder is 28 cm .

To Find :

⬤ Diameter of Base of Cylinder .

Formula Used :

$\sf[\:{Curved\:Surface\:Area\:of\:Cylinder=2\pi{r}h}\:]$

Solution :

According to the Formula :

352 = 2πrh

352 = 2 × 22/7 × r × 28

352 = 44/7 × r × 28

352 = 44 × r × 4

352 = 176r

352/176 = r

2 = r

Therefore , The Radius of Cylinder is 2 cm .

Now :

As, Diameter is double of Radius. Hence ,

D = r + r

2 + 2

4

Therefore , The Diameter is 4 cm .

Answer 2

Step-by-step explanation:

Formula = Curved Surface Area of Cylinder=2πrh

352 = 2πrh

352 = 2 × 22/7 × r × 28

352 = 44/7 × r × 28

352 = 44 × r × 4

352 = 176r

352/176 = r

2 = r

Therefore , The Radius of Cylinder is 2 cm .

Now : As, Diameter is double of Radius. Hence ,

D = r + r

= 2 + 2

= 4

Therefore , The Diameter is 4 cm .

Hope this is helpful for you.