The surface area of a igloo with a 20 ft. diameter is ![628ft^{2}](https://tex.z-dn.net/?f=628ft%5E%7B2%7D)
According to question statement, we are supposed to find the surface area of an igloo with a 20ft. diameter.
Before solving this question, we should be aware of the fact that an igloo is of a Hemispherical shaped object usually made up of ice.
So for finding out area of igloo we find the surface area of of the hemisphere.
Curved Surface area : ![2\pi r^{2}](https://tex.z-dn.net/?f=2%5Cpi%20r%5E%7B2%7D)
Total Surface area: ![3\pi r^{2}](https://tex.z-dn.net/?f=3%5Cpi%20r%5E%7B2%7D)
where r is the radius of igloo.
Radius is half of the diameter therefore ![r=\frac{diameter}{2}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bdiameter%7D%7B2%7D)
![r=\frac{20ft}{2} \\r=10ft](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B20ft%7D%7B2%7D%20%5C%5Cr%3D10ft)
Therefore radius is 10 ft.
Curved Surface Area: ![2*3.14*10^{2} =628ft^{2}](https://tex.z-dn.net/?f=2%2A3.14%2A10%5E%7B2%7D%20%3D628ft%5E%7B2%7D)
Total Surface Area: ![3*3.14*10^{2} =942ft^{2}](https://tex.z-dn.net/?f=3%2A3.14%2A10%5E%7B2%7D%20%3D942ft%5E%7B2%7D)
But as we are supposed to find the surface area therefore the answer is
.
- Hemisphere: A hemisphere is a 3-Dimensional figure which is obtained by bisecting a sphere into two equal halves through its diameter.
If you want to learn more about surface areas, click on the link given below:
brainly.com/question/15889753
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