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Juli2301 [7.4K]
3 years ago
9

5. What is closest to the volume of the sphere?

Mathematics
1 answer:
mart [117]3 years ago
8 0

Answer:

The correct answer is D)

Step-by-step explanation:

To find the volume of a sphere, you need to use the formula \frac{4}{3}\pi r^3. Since the radius of the sphere is 7.5 inches, you can use that to solve the volume. \frac{4}{3}\pi *7.5^3 = \frac{4}{3}\pi *421.875 = 562.5*\pi ≈ 1767.15in^3, which is closest to 1767.21in^3, so that is the correct answer.

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A quadrilateral has exactly one right angle and two nonadjacent angles that each measure 105 degrees
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Answer:

C) Kite

Step-by-step explanation:

The problem states that the polygon is a quadrilateral, meaning it has 4 sides. This rules out D, as pentagons have 5 sides. Our next clue is that this shape has <em>only one </em>right angle, ruling out A and B, because, by definition, rectangles and squares must have four 90 degree angles. We can already see that we are left with only one choice, but to confirm: a kite has 2 opposite angles of 105 degrees, like the problem states.

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