Question

curved surface area of a cylinder is 468 CM square air and height of the cylinder is 12 CM find its radius​

Answer 1

Step-by-step explanation:

Given, total surface area of cylinder = 462 square cm.

Also, CSA of cylinder =

3

TSA of cylinder

⇒TSA=2πrh+2πr

2

⇒TSA=CSA+2πr

2

⇒TSA=

3

TSA

+2πr

2

⇒

3

2TSA

=2πr

2

⇒

3

TSA

=πr

2

⇒

3

462

=

7

22

×r

2

⇒r=7cm

Now, CSA of cylinder =

3

TSA of cylinder

=

3

462

=154cm

2

⇒2πrh=154

⇒2×

7

22

×7×h=154

⇒h=

2

7

cm

Therefore, volume of the cylinder =πr

2

h

=

7

22

×7

2

×

2

7

=539cm

3

Hence, volume of the solid cylinder is 539cm

3

.

Answer 2

Given :

⬤ Curved Surface Area of Cylinder is 468 cm² .

⬤ Height of Cylinder is 12 cm .

To Find :

⬤ Radius of Cylinder .

Formula Used :

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

• r = radius
• h = height

Solution :

• Area = 468 cm² .
• Height = 12 cm .

According to the Formula :-

468 = 2πrh

468 = 2 × 22/7 × r × 12

(468 × 7) = 44 × r × 12

3276 = 44 × r × 12

3276 = 528r

3276/528 = r

6.20 = r

Therefore , The Radius of the Cylinder is 6.20 cm .