Question

find the LSA and TSA of the cylinder with the following dimensions radius 70 cm height 1 metre​

Answer 1

To Find :

• Lateral surface of cylinder
• Total surface area of cylinder.

Solution :

• Radius of cylinder = 70cm
• Height of cylinder = 1m = 100cm

As we know that,

$\underline{ \boxed{ \star \boldsymbol{ \: CSA \: \: of \: cylinder = 2\pi \: rh}}}$

= 2 × 22/7 × 70 × 100

= 44 × 10 × 100

= 44 × 1000

= 44000 cm²

$\underline{ \boxed{ \star \boldsymbol{ \:TSA \: \: of \: cylinder = 2\pi \: r(r + h)}}}$

= 2 × 22/7 × 70 (70 + 100)

= 44 × 10 (170)

= 440 × 170

= 74800 cm²

Hence,

• Lateral surface of the cylinder is 44000cm²
• Total surface of cylinder is 74800cm²

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Answer 2

$\bf{\underline{Question:-}}$

• find the LSA and TSA of the cylinder with the following dimensions radius 70 cm height 1 metre

$\bf{\underline{Given:-}}$

• Radius (r) = 70cm
• Height (h) = 1 m

we know ,

• 1m = 100cm

$\bf{\underline{To\:Find:-}}$

• Lateral surface area ( L.S.A or C.S.A ) = ?
• Total surface area (T.S.A) = ?

$\bf{\underline{Formula:-}}$

• ${\underline{\boxed{\pink{Lateral\: surface\:area = 2πrh}}}}$

• ${\underline{\boxed{\purple{Total\: surface\:area = 2πr(r+h)}}}}$

$\bf{\underline{Solution:-}}$

→ L.S.A = 2πrh

→ L.S.A = 2 × 22/7 × 70 × 100

→ L.S.A = 2 × 22 × 10 × 100

→ L.S.A = 2 × 22 × 1000

→ L.S.A = 44 × 1000

→ L.S.A = 44000cm²

______________________________

Now,

→ T.S.A = 2πr ( r + h )

→ T.S.A = 2 × 22/7 × 70 × ( 70 + 100 )

→ T.S.A = 2 × 22 × 10 × 170

→ T.S.A = 44 × 1700

→ T.S.A = 74800cm²

$\bf{\underline{Hence:-}}$

• L.s.A of cylinder 44000cm²
• T.s.a of cylinder 74800cm²