Question

The volume of a right cylinder of height 7 cm is 567 pai find its C.S.A​

Answer 1

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The volume of a right cylinder of height 7 cm is 567π find its C.S.A

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$\large{\underline{\boxed{\bold\purple{Given}}}}$

$\large{\pink{Height \: (h) = 7cm}}$

$\large{\pink{Volume \: (v) = 567π}}$

$\large\pink{radius \: (r) = ?}$

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$\green{\large{Volume \: of \: cylinder = πr²h}}$

$\large \purple{: \leadsto}\orange{πr²h = 567π}$

$\large\purple{:\leadsto}\orange{ πr² \times 7 = 567π}$

$\large\purple{:\leadsto}\orange{ r² = \dfrac{\cancel{567 \times π}}{\cancel{π×7}}}$

$\large\purple{:\leadsto}\orange{ r² = 81}$

$\large\purple{:\leadsto}\orange{ r = √81}$

$\large\purple{:\leadsto}\orange{ r = 9}$

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Now,

$\large\green{CSA \: of \: cylinder = 2πrh}$

$\large\purple{:\leadsto}\orange{2×\dfrac{22}{\cancel7}×9×\cancel7}$

$\large\purple{:\leadsto}\orange{44×9}$

$\large\purple{:\leadsto}\orange{396 \: cm²}$

[Hope this helps you.../]