Question

how much cloth material will be required to cover a big done hemisphere in shape each of radius 2 meters ​

Answer 1

Answer:

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}}

CurvedSurfaceAreaofahemisphere=2πr

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^22×2πr

2

substituting pi = 22/7 and r = 2.5 m

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

7

22

×2.5

2

= 2 \times 2 \times \frac{22}{7} \times 6.252×2×

7

22

×6.25

= \frac{550}{7}

7

550

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

2

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