Question

. Find the volume, area of the curved surface and the total surface area of a cylinder
whose height and radius of base are 20 em and 28 cm respectively​

Answer 1

Solution:

Given:

⇒ Height of cylinder = 20 cm

⇒ Radius = 28 cm

To find:

⇒ Volume of cylinder

⇒ CSA of cylinder

⇒ TSA of cylinder

Formula used:

$\sf{\implies Volume\;of\;cylinder=\pi r^{2}h}$

$\sf{\implies CSA\;of\;cylinder=2\pi rh}$

$\sf{\implies TSA\;of\;cylinder=2\pi r(r+h)}$

Now, put the values in the formula.

$\sf{\implies Volume\;of\;cylinder=\pi r^{2}h}$

$\sf{\implies Volume\;of\;cylinder=\dfrac{22}{7}\times 28\times 28\times 20}$

$\sf{\implies Volume\;of\;cylinder=\dfrac{344960}{7}}$

$\sf{\implies Volume\;of\;cylinder=49280\;cm^{3}}$

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$\sf{\implies CSA\;of\;cylinder=2\pi rh}$

$\sf{\implies CSA\;of\;cylinder=2\times \dfrac{22}{7}\times 28\times 20}$

$\sf{\implies CSA\;of\;cylinder=\dfrac{24640}{7}}$

$\sf{\implies CSA\;of\;cylinder=3520\;cm^{2}}$

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$\sf{\implies TSA\;of\;cylinder=2\pi r(r+h)}$

$\sf{\implies TSA\;of\;cylinder=2\times \dfrac{22}{7}\times 28(28+20)}$

$\sf{\implies TSA\;of\;cylinder=2\times \dfrac{22}{7}\times 28\times 48}$

$\sf{\implies TSA\;of\;cylinder=\dfrac{59136}{7}}$

$\sf{\implies TSA\;of\;cylinder=8448\;cm^{2}}$

Answer 2

$\huge{\star}{\underline{\boxed{\red{\sf{Answer :}}}}}{\star}$

Height = 20 cm

Radius = 28 cm

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# Volume

For volume we have formula :-

$\huge{\boxed{\boxed{\sf{V \: = \: \pir^2h}}}}$

___________[Put Values]

V = 22 × (28)² 20/7

V = 344960/7

V = 49280 cm³

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# Curved Surface Area

$\huge{\boxed{\boxed{\sf{C.S.A \: = \: 2\pi rh}}}}$

__________[Put Values]

C.S.A = 2 × 22 × 28 × 28 /7

C.S.A = 24640/7

C.S.A = 3520 cm²

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# Total Surface Area

$\huge{\boxed{\boxed{\sf{T.S.A \: = \: 2\pi r(r+h</p><p>)}}}}$

__________[Put Values]

T.S.A = 59163/7

T.S.A = 8448 cm²