Question

How much cloth material will be required to cover 2 big domes each of radius 3.5 metres? (Take = 22/7)​

Answer 1

Answer:

Given

Two big domes needs to be covered.

Radius of each ⇒ 3.5 metres

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To Find

The amount of cloth required to cover the domes.

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Solution

We need to find the CSA of the domes to get the amount of cloth material required. First we will find for 1 and then with the value found we will find the second one too.

CSA of Hemisphere ⇒ 2πr²

('r' = Radius)

Radius ⇒ 3.5 meters

CSA of Hemisphere ⇒ $2\times \dfrac{22}{7}\times (3.5)^{2}$

CSA of Hemisphere ⇒ $2\times \dfrac{22}{7}\times 12.25$

CSA of Hemisphere ⇒ $2 \times \dfrac{269.5}{7}$

CSA of Hemisphere ⇒ 2 × 38.5

CSA of Hemisphere ⇒ 77 m²

Since we have to find the CSA for both we will multiply '2' to the obtained area.

CSA of Hemisphere ⇒ 77 × 2

CSA of Hemisphere ⇒ 154 m²

∴ 154 m² cloth would be required to cover 2 big domes each of radius 3.5 metres.

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