Question

the curved surface area of a right circular cylinder of height 1cm is 8
8cm sq the diameter
of the base is:​

Answer 1

Answer:

Given:

Height =14 cm

To calculate diameter. 

⇒Let x be the diameter

Curved surface Area =88 cm2

⇒2πrh=88

⇒2πrh=88

⇒x=22×1488×7

⇒x=2 cm

Diameter =2 cm

Step-by-step explanation:

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Answer 2

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Correct Question:-

• The curved surface area of a right circular cylinder of height 14cm is 88cm sq the diameter of the base is..?

$\text{\large\underline{\red{Given:-}}}$

• The curved surface area of a right circular cylinder of height is 14 cm is 88 cm sq.

$\text{\large\underline{\orange{To Find:-}}}$

• What is the diameter of a base .

Formula Used :-

First, we have to find the Curved surface area,

• $\boxed{\bold{\small{C.S.A\: =\: 2{\pi}rh}}}$

Now, we have to find the diameter,

• $\boxed{\bold{\small{Diameter\: =\: 2\: ×\: radius}}}$

$\text{\large\underline{\purple{Solution:-}}}$

• Let, the radius be r
• h = 14 cm
• C.S.A = 88 cm sq

According to the question by using the formula we get,

$\text{\large\underline{\pink{Curved surface area = 2πrh}}}$

• $↦$ 2πrh = 88

• $↦$ $2 × \dfrac{22}{7}$× r × = 14 = 88

• $↦$ $r = \dfrac{88 × 7}{2 × 22 × 14}$

• $↦$ r = $\sf\dfrac{\cancel{616}}{\cancel{616}}$

• $↦$ r = 1 cm

Hence,

• the radius is 1 cm

Now, we have to find the diameter,

• $↦$ Diameter = 2 × radius
• $↦$ Diameter = 2 × 1
• $↦$Diameter = 2 cm

∴ The diameter of a base is 2 cm .

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