Question

the curved surface area of a circular cylinder of height 14cm is 88cm square. find the diameter of the base of the cylinder ​

Answer 1

Answer:

d = 2 cm

Step-by-step explanation:

Given, C.S.A = 88 cm²

           h = 14 cm

∵ C.S.A = 2 π r h

⇒ 88 = 2 * 22 / 7 * r * 14   [Let π = 22 / 7]

⇒ 88 * 7 = 2 * 22 * r * 14   [Multiplying both sides by 7]

⇒ 88 * 7 = 22 * d * 14        [∵ d = 2 r]

⇒ 4 * 7 = d * 14                  [Dividing both sides by 22]

⇒ 28 = d * 14

⇒ d = 28 / 14

⇒ d = 2 cm

Answer 2

Required Answer:

GiveN:

Curved surface of the cylinder is 88 cm

Height of the cylinder = 14 cm

To FinD:

Diameter of the base?

Step-by-step Explanation:

Curved surface area of cylinder can be determined by:

$\large{ \boxed{ \rm{CSA = 2\pi rh}}}$

Here, r is the radius of the base and h is the height of the cylinder.

Now putting the values to get the radius first,

⇒ 2πrh = CSA

⇒ 2 × 22/7 × r × 14 cm = 88 cm²

⇒ 88r cm = 88 cm²

⇒ r = 1 cm

Then, Diameter of the cylinder:

= 2 × Radius

= 2 × 1 cm

= 2 cm

Hence,

The diameter of the base of the cylinder is 2 cm (Ans)