To find the volume of a dome, you would have to find the volume of the sphere, theoretically, and then divide it by two. To calculate the volume, we would use the formula 4/3 
. The radius (r) in this case is half of the diameter which is 14. 4 x 3.14 (pi) = 12.56. 12.56 x 14 x 14 x 14 (2744) = 34464.64. If we divide this number by 3, we get 11488.2133. If we divide this by 2 (to get the dome), we get 5744.10656. Which would be 5744.1 rounded to the nearest tenth.
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In kilometers, the approximate distance to the earth's horizon from a point h meters above the surface can be determined by evaluating the expression
We are given the height h of a person from surface of sea level to be 350 m and we are to find the the distance to horizon d. Using the value in above expression we get:
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We are given the height h of a person from surface of sea level to be 350 m and we are to find the the distance to horizon d. Using the value in above expression we get:
Therefore, the approximate distance to the horizon for the person will be 64.81 km