Answer:
So, the diameter of the smaller hemispherical dome is approximately 70.10 meters.
(sorry if there are some symobls not showing)
Step-by-step explanation:
To find the diameter of the smaller hemispherical dome, we first need to determine the radius.
The surface area
�
A of a hemisphere is given by the formula:
�
=
2
�
�
2
A=2πr
2
where
�
r is the radius of the hemisphere.
Given that the surface area
�
A is 7700 square meters, we can rearrange the formula to solve for
�
r:
�
=
�
2
�
r=
2π
A
Substituting the given surface area:
�
=
7700
2
�
r=
2π
7700
Now, once we find the radius
�
r, we can calculate the diameter
�
D using the formula:
�
=
2
�
D=2r
Let's calculate:
�
=
7700
2
�
≈
7700
6.283
≈
1225.081
≈
35.05
meters
r=
2π
7700
≈
6.283
7700
≈
1225.081
≈35.05 meters
�
=
2
×
35.05
≈
70.10
meters
D=2×35.05≈70.10 meters
So, the diameter of the smaller hemispherical dome is approximately 70.10 meters.
