Question

The curved surface area of a right circular cylinder of height 14cm is 88cm square diameter of the base of the cylinder
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Answer 1

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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).

Answer 2

$\large\mathbb{\underline{\underline{\purple{Answer :-}}}}$

Given, The height of cylinder= 14cm

and , the curved surface area of cylinder = 88cm²

we know that,

the curved surface area of cylinder= 27πrh

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 = 88cm²

π x d x 14 = 88

22/7 x d x 14 = 88

d = 2cm

so, the diameter of the cylinder is 2cm.

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