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Aloiza [94]
3 years ago
13

QUICKLY A sphere has a radius of 4 in. Which equation finds the volume of the sphere?

Mathematics
1 answer:
MissTica3 years ago
6 0

Volume of sphere formula: V = 4/3πr³

We are given the radius of 4, so, input that with r in the formula.

V = 4/3π(4)³

As we can see, option B has what we wrote above. So, that is the correct answer.

The answer is Option B.

Best of Luck!

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Answer:

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A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 210 feet (ft). If the wheel
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Answer:

The change in the height of the seat of the Ferris wheel is a reduction in height of approximately 74.25 feet

Step-by-step explanation:

The given information are;

The position of the seat on the Ferris wheel = The center level of the wheel

The diameter of the Ferris wheel = 210 feet

The angle of rotation of the wheel = 45° counterclockwise

The height of a point on the Ferris wheel is given by the relation;

h = A·cos(b·x + c) + d

With regards to the question, we have;

h = The height of the seat of the Ferris wheel

A = The amplitude = 1/2 × The diameter of the wheel = 210/2 = 105 feet

360/b = The period

c = The phase shift = 90°

d = The mid line = 0

For a rotation of 45° counterclockwise or-45° clockwise, we have;

b·x = 45°, therefore;

h  = 105 × cos(45° + 90°) + 0 = 105 × cos(135°) + 0

h = 105 × cos(135°) ≈ -74.25 feet

Therefore, the height of the seat of the Ferris wheel reduces by 74.246 feet.

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