Question

How much cloth material will be required to cover 2 big domes each of radius 2.5 metres? (Take = 22/7)

Answer 1

Given :

• $\tt{Radius =2.5 meter}$

•$\tt{\pi =\dfrac{22}{7}}$

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To Find :

• How much cloth material will be required to cover 2 big domes =?

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Formula :

⇒$\tt{Surface \: Area \: of \: Hemisphere =2 \pi r^{2}}$

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Solution :

⇒$\\ \\ \sf{Domes \: are \: hemisphere \: of \: radius =2.5cm}$

⇒Cloth material to cover would be Surface Area of Hemisphere of both Domes.

⇒$\\ \\ \bf{\therefore \: Cloth \: material = 2 \times \: Surface \: area \: of \: hemisphere }$

⇒$\\ \\ \sf{Cloth \: material = 2 \times 2 \pi r^{2}}$

⇒$\\ \\ \sf{Cloth \: material = 2 \times 2 \times \dfrac{22}{7} \times{(2.5)}^{2}}$

⇒$\\ \\ \sf{Cloth \: material =4 \times 3.14 \times (2.5)^{2}}$

⇒$\\ \\ \sf{Cloth \: material =78.57m^{2}}$

Therefore, The cloth material will be required to cover 2 big domes is 78.57m²

Answer 2

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Given

r = 2.5 m

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Required to Find

How much Cloth material is required to cover 2 big domes ?

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$\bf \large \color{red} \: solution$

$\bf \implies \: 2 \: \times surface \: area \: of \: hemisphere$

$\bf \implies \: 2 \: \times (2\pi {r}^{2} )$

$\bf \implies \: \dfrac{4 \times 22 \times 2.5 \times 2.5}{7}$

$\bf \implies \: 78.57 {m}^{2}$

$\sf \color{blue} Hence, \: the \:cloth \: material \: required \: to \: cover\: 2\: big \: domes \: is \: 78.57 {m}^{2}$