The volume of the spherical dome will be 12.9π cubic feet when the surface area of the dome is 13.924π.
<h3>What is the volume of the sphere?</h3>
The volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. The dome is the shape of a semi-sphere the volume of the dome will be half of the volume of the sphere.
Given that the Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924π square feet.
The volume of the dome will be calculated as below:-
SA = 13.924π
2πr² = 13.92π
r = √6.96
r = 2.63 feet
Volume = 2 / 3 πr³
Volume = ( 2 / 3 ) π ( 2.63)³
Volume = 12.24π cubic feet
Therefore, the volume of the spherical dome will be 12.9π cubic feet.
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Answer:
Lateral Area = Area of 2 triangle + Area of slant rectangle + area of back rectangle
Lateral Area = (5m)(3m) + (6m) (36m) + (3m) (36m)
LA = 15m² + 216m² + 108m²
LA = 339 m²
SA = (5m)(3m) + (6m) (36m) + (3m) (36m) + (5m)(36m)
SA = 15m² + 216m² + 108m² + 180 m²
SA = 519 m²
Answer:
greater than cb and less than ab ig
Answer:
-4
Step-by-step explanation:
Answer:
Option (3)
Step-by-step explanation:
By applying cosine rule in the triangle ABC,
BC² = AC² + AB² - 2(AC)(AB)cosA
5² = 3² + 7²- 2(3)(7)cosA
25 = 9 + 49 - 42cos(A)
25 = 58 - 42cos(A)
cos(A) = 
A = 
A = 38.21°
A ≈ 38°
Option (3) will be the correct option.