The first thing we must do for this case is find the volume of the sphere.
The volume is given by:
V = (4/3) * (pi) * (r ^ 3)
Where,
A: Radius of the sphere
Substituting values:
V = (4/3) * (3.14) * (4 ^ 3)
V = 267.95 in ^ 3
Then, the weight of the sphere is:
W = (267.95) * (0.75)
W = 200.9625 pounds
Round to the nearest pound:
W = 201 pounds
Answer:
The weight of the sphere is:
W = 201 pounds


An airplane is flying at a height of 5 kilometers above the ground. The distance along the ground from the airplane to the airport is 7 kilometers. What is the angle of depression from the airplane to the airport? (Write the answer to the nearest degree.)


✞ Step 1 ✞: Identify what is asked in the problem.
❒ The angle of depression from the airplane to the airport.
✞ Step 2 ✞: Use appropriate trigonometric ratio to solve the problem.
❒ Since the two legs of the right triangle are part of the problem, hence we use tangent ratio:

✞ Step 3 ✞: Solution and interpretation.





Hence, the angle of depression from the airplane to the airport is approximately 36°.


Answer: 
<u>Simplify both sides of the equation</u>
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<u>Flip the equation</u>
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<u>Subtract 6 from both sides</u>
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<u>Multiply both sides by 3/(-8)</u>
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<u>Turn 9/5 into a Mixed Number</u>
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2, 2 is the answer you should come up with