Question

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

Answer 1

Given:

2 big domes each of radius 2.5 metres

To find:

How much cloth will be required to cover 2 big domes each of radius 2.5 metres?

Solution:

The radius of each of the dome, r = 2.5 meters

We know,

$\boxed{\bold{Curved\:Surface\:Area \:of\:a\:hemisphere= 2\pi r^2}}$

Now,

The required area of the cloth to cover the 2 domes is,

= 2 × [Curved Surface Area of the Hemispherical dome]

= $2 \times 2 \pi r^2$

substituting pi = 22/7 and r = 2.5 m

= $2 \times 2 \times \frac{22}{7} \times 2.5^2$

= $2 \times 2 \times \frac{22}{7} \times 6.25$

= $\frac{550}{7}$

= $\bold{78.57\:m^2}$

Thus, 78.57 m² cloth will be required to cover 2 big domes.

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Answer 2

Answer:

78.57m²

Step-by-step explanation:

r=2.5m

CSA of hemisphere=2πr²

therefore the required cloth material=2×csa of hemisphere

=2×2×22/7×(2.5)²

=78.57