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9514 1404 393
Answer:
(d) 12.3
Step-by-step explanation:
From the Law of Cosines, you can solve for c:
c = √(a² +b² -2ab·cos(C)) = √(22.09 +104.2441 -95.974cos(105.3°))
c ≈ √151.659 ≈ 12.31499
Side c is about 12.3 units long.
To solve the problem shown above, you must apply the proccedure shown below:
1. You must use tthe formula for calculate the volume of a sphere, which is:
V=4πr³/3
V is the volume of the sphere.
r is the radius of the sphere (r=3.5 inches)
2. When you susbstitute these values into the formula shown above, you obtain the volume of the sphere. Therefore, you have:
V=4πr³/3
V=4π(3.5 inches)³/3
3. Therefore, the answer is:
V=179.5 inches³
