Question

8.The curved surface area of a righ tcircular cylinder of height 14cm is

88cmsquare .Thediameterof the base is:

a.2cm

b.3cm

c.4cm

d.6cm​

Answer 1

Answer:

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

7

22

×d×14=88

d=2cm

so, the diameter of the cylinder is 2cm

Answer 2

Answer:

answer is 2cm

Let the radius of the base of the cylinder be , r cm.

Given,

h (height)=14cm

curved surface area=88 cm square.

As we know that,Curved surface area (cylinder)=2πrh

⇒ 2πrh=88 cm square

⇒ 2×22/7×r×14=88

⇒ r=(88×7)/(2×22×14)

⇒ r=1

⇒ 2r=2

Hence, diameter of the base is 2cm.