Question

the curvedsurface area of a right circular cylinder of height 14cm is 176cm².the diameter of the base is ​

Answer 1

Explanation:

Given , The height of cylinder =14cm

and , the curved surface area of cylinder =88cm

2

we know that ,

the curved surface area of cylinder =2πrh

and 2r=d

here , r=radius of cylinder , d=diameter of cylinder and h=height of cylinder

so , the curved surface area of cylinder =πdh =88cm

2

π×d×14=88

22/7

×d×14=88

d=2cm

so, the diameter of the cylinder is 2cm.

Answer 2

${ \huge{ \underline{ \underline{ \sf{ \green{GivEn : }}}}}}$

• The curved surface area of a right circular cylinder is 176 cm².

• Height of the cylinder is = 14 cm

${ \huge{ \underline{ \underline{ \sf{ \green{To \: find :}}}}}}$

• What's the diameter of the base?

Formula to be used :-

• CSA of cylinder = 2πrh

• Diameter of the base = 2r

${ \huge{ \underline{ \underline{ \sf{ \green{SoluTion : }}}}}}$

Given that,

The curved surface area of a right circular cylinder is 176 cm².

Firstly, find the curved surface area of the cylinder.

CSA of cylinder

= 2πrh

= 2 × 3.1416 × r × 14

= 88r cm²

According to the question :-

⟶ CSA of cylinder = 176

⟶ 88r = 176

⟶ r = 2 cm

__________________________________________________

Now, find diameter of the base.

Diameter of the base

= 2r

(Putting the value of r)

= 2 × 2

=4 cm

Hence, diameter of the base is 4 cm.