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.
⠀
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,
⠀
>> CSA of cylinder = 2πrh
By using the required formula and placing the available values in the formula, we get:-
[tex]\huge{{\underline{\blue{Given:}}}}[/tex]
[tex]\huge{{\underline{\blue{To\:Find:}}}}[/tex]
[tex]\huge{{\underline{\blue{Formula\:Used:}}}}[/tex]
[tex]\huge{{\underline{\blue{Solution:}}}}[/tex]
[tex]:\implies\:CSA\:of\: Cylinder=2\pi rh[/tex]
[tex]:\implies\:220=2\times \dfrac{22}{7}\times 3.5\times h[/tex]
[tex]:\implies\:220=2\times \dfrac{22}{7}\times\dfrac{35}{10}\times h[/tex]
[tex]:\implies\:h=\dfrac{220\times10}{2\times22\times5}[/tex]
[tex]:\implies\:h=\dfrac{2200}{220}[/tex]
[tex]{\boxed{:\implies\:h=10cm}}[/tex]
Hence, The Height of the given Cylinder is 10cm.
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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.
⠀
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,
⠀
>> CSA of cylinder = 2πrh
By using the required formula and placing the available values in the formula, we get:-
⠀
→ 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.