Question

The curved surface area of cylinder of height 14cm is 88 cm sq.The diameter of cylinder is?
Plz help to solve this question ​

Answer 1

Answer:

2 cm.

Step-by-step explanation:

Given :-

Height (h) = 14 cm

Curved surface area = 88 cm sq.

To Find :-

Diameter of the base of the cylinder.  

Formula to be used :-

Curved surface area = 2πrh

Solution :-

2πrh = 88 cm sq.

⇒ 2 × 22/7 × r × 14 = 88 cm sq.

⇒ 88r = 88

⇒ r = 88/88

⇒ r = 1 cm

Then diameter = 1 × 2 = 2 cm

Hence,  the diameter of the base of the cylinder is 2 cm.

Answer 2

Answer:

Given,

The height of cylinder = 14cm

the curved surface area of cylinder = 88cm²

we know that,

the curved surface area of

cylinder = 2πrh and 2r = d

here,

r = radius of cylinder

d = diameter of cylinder

h= height of cylinder

so,

the curved surface area of

cylinder = πdh = 88cm²

π × d x 14 = 88

22 × d x 14 = 88

7

d = 2cm

so, the diameter of the cylinder is 2cm.