Question

The curved surface area of a cylinder is220 cm2 . Its base radius is 3.5 cm, then its height is

Answer 1

Here is your solution :-

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Here in this question we are given with the curved surface area of a cylinder and it's base radius, and we are asked to find out the height of that cylinder.

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We have:-

>> CSA if cylinder = 220cm²

>> Radius = 3.5cm

>> Height = ?

We know that, if we are given with the curved surface area of a cylinder and it's base radius, we have the required formula, that is,

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>> CSA of cylinder = 2πrh

By using the required formula and placing the available values in the formula, we get:-

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→ 220 = 2 * 22/7 * 3.5 * h

→ 220 = 2 * 22/7 * 35/10 * h

→ 220 = 2 * 22 * 5/10 * h

→ 220 = 2 * 22 * 1/2 * h

→ 220 = * 22 * 1 * h

→ 220 = 22 * h

→ 220 = 22h

→ h = 220/22

→ h = 10 [Answer]

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Hence, the height of cylinder is 10 cm.

Answer 2

$\huge{{\underline{\blue{Given:}}}}$

• Curved Surface Area of a Cylinder = 220 cm².

• It's base radius is 3.5 cm.

$\huge{{\underline{\blue{To\:Find:}}}}$

• It's height

$\huge{{\underline{\blue{Formula\:Used:}}}}$

• ${\boxed{CSA\:of\: Cylinder=2\pi\:rh}}$

$\huge{{\underline{\blue{Solution:}}}}$

$:\implies\:CSA\:of\: Cylinder=2\pi rh$

$:\implies\:220=2\times \dfrac{22}{7}\times 3.5\times h$

$:\implies\:220=2\times \dfrac{22}{7}\times\dfrac{35}{10}\times h$

$:\implies\:h=\dfrac{220\times10}{2\times22\times5}$

$:\implies\:h=\dfrac{2200}{220}$

${\boxed{:\implies\:h=10cm}}$

Hence, The Height of the given Cylinder is 10cm.

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