Question

find the TSA ,CSA of cylinder with radius 7cm and height 10 cm​

Answer 1

Given :

• Radius = 7 cm
• Height = 10 cm

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To Find :

• CSA = ?
• TSA = ?

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Solution :

~ Formula Used :

• CSA :

${\pink{\longmapsto}} \; {\underline{\boxed{\green{\sf{ Curved \; Surface \; Area \; = 2 \pi rh }}}}}$

• TSA :

${\pink{\longmapsto}} \; {\underline{\boxed{\green{\sf{ Total \; Surface \; Area \; = 2 \pi r \bigg\lgroup r + h \bigg\rgroup }}}}}$

Where :

• ${\sf{ \pi = \dfrac{22}{7} }}$
• r = Radius
• h = Height

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~ Calculating the Curved Surface Area :

${\dashrightarrow{\qquad{\sf{ CSA = 2 \pi rh }}}}$

${\dashrightarrow{\qquad{\sf{ CSA = 2 \times \dfrac{22}{7} \times 7 \times 10 }}}}$

${\dashrightarrow{\qquad{\sf{ CSA = 2 \times \dfrac{22}{\cancel7} \times \cancel7 \times 10 }}}}$

${\dashrightarrow{\qquad{\sf{ CSA = 2 \times 22 \times 10 }}}}$

${\dashrightarrow{\qquad{\sf{ CSA = 44 \times 10 }}}}$

${\dashrightarrow{\qquad{\red{\sf{ \; CSA = 440 \; cm² }}}}}$

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~ Calculating the Total Surface Area :

${\dashrightarrow{\qquad{\sf{ TSA = 2 \pi r \bigg\lgroup r + h \bigg\rgroup }}}}$

${\dashrightarrow{\qquad{\sf{ TSA = 2 \times \dfrac{22}{7} \times 7 \bigg\lgroup 7 + 10 \bigg\rgroup }}}}$

${\dashrightarrow{\qquad{\sf{ TSA = 2 \times \dfrac{22}{\cancel7} \times \cancel7 \bigg\lgroup 7 + 10 \bigg\rgroup }}}}$

${\dashrightarrow{\qquad{\sf{ TSA = 2 \times 22 \bigg\lgroup 7 + 10 \bigg\rgroup }}}}$

${\dashrightarrow{\qquad{\sf{ TSA = 2 \times 22 \bigg\lgroup 17 \bigg\rgroup }}}}$

${\dashrightarrow{\qquad{\sf{ TSA = 44 \times 17 }}}}$

${\dashrightarrow{\qquad{\purple{\sf{ \; TSA = 748 \; cm² }}}}}$

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~ Therefore :

❝ CSA of the Cylinder is 440 cm² and its TSA is 748 cm² . ❞

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♥️ ${\red{♪}}{\purple{ ♪}}{\pink{ ♪}}$

Answer 2

Step-by-step explanation:

${ \large { \underline{ \underline { \sf{Solution}}}}}$

 

★CSA:

$\sf{⇢CSA=2×722×7×10}$

${\dashrightarrow{\qquad{\sf{ CSA = 2 \times \dfrac{22}{\cancel7} \times \cancel7 \times 10 }}}}$

${\dashrightarrow{\sf{ CSA = 2 \times 22 \times 10 }}}$

${\dashrightarrow{\sf{ CSA = 44 \times 10 }}}$

$\bf \large \huge⇢CSA=440cm²$

★TSA:

Total surface area=2πr(h+r)sq.units

$\qquad \leadsto \sf{=2×722×7(10+7)} \\ \leadsto\sf{=44×17= \red{748^2 cm}}$

Therefore :

CSA of the Cylinder is 440 cm² and its TSA is 748 cm² .

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