Question

Question!

What is the formula of the surface area of a cylinder with a radius of 3.5cm and a height of 40cm.

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Answer 1

Given :

• Radius of Cylinder = 3.5 cm
• Height of Cylinder = 40 cm

To Find :

• Find the Area of Cylinder ?

Solution :

We know that,

➣ Surface Area of Cylinder = 2πr(r + h)

According to the question :

➣ T.S.A of Cylinder = 2 × 22/7 × 3.5 (3.5 + 40)

➣ T.S.A = 44.7 × 3.5 (43.5)

➣ T.S.A = 44/7 × 152.25

➣ T.S.A = 6699/7

➣ T.S.A = 956.61

Hence,

• Surface area of Cylinder is 957cm².

Answer 2

$\underline{\bold{\mathtt{\green{Solution:-}}}}$

$\underline{\mathrm{Given \: Data:-}}$

• Radius(r) = 3.5 CM
• Height(h) = 40CM
• Pi(π) = 22/7

$\displaystyle{\underline{\mathrm{\bold{Formula \:of\: Total\: Surface\: area \: of\: Cylinder:-}}}}$

$\:\:\:\:\:\: : \implies\boxed{\green{\sf{2\pi rh+2\pi r²}}}\:\:\:\:\:\:$

Putting values in the above formula.

$\rightarrow \bf{2\pi \: rh + 2\pi \: r {}^{2} } \\ \rightarrow \bf{2\pi \: r(h + r) } \\ \rightarrow \bf{ \cancel{2} \times \frac{22}{ \cancel{7}} \times \frac{ \cancel {}^{ \cancel5} {35}}{ \cancel{10} _{ \cancel{2}} } (40 + 3.5)} \\ \implies \bf{22 \times 43.5} \\ \implies \: \bold{ \cancel{ {}^{11} 22} \times \frac{ \cancel{435} \: \: {}^{87} }{ \cancel{10} _{\cancel{5}} }} \\ : \rightarrow11 \times 87 \\ : \rightarrow \boxed{ \green{ \sf957 \: cm {}^{2} }} Ans.$

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