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Ostrovityanka [42]
3 years ago
15

Carmine is packing 27 superballs in 3 square layers. Each ball has a diameter of 4 cm.

Mathematics
1 answer:
Fynjy0 [20]3 years ago
6 0
Assuming the diameter of the ball = side of square
To stack 27 balls, we need 9 layers of 3 square each
Total space = 27 x 4³ = 1728 cm³
Total space occupied by 27 spherical balls = 27 x 4/3 π (4/2)³ = 904.78 cm³
Empty space = 1728 - 904.78 = 823.22 cm³
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kotegsom [21]

Answer:

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Step-by-step explanation:

Step 1 of 2: Subtract, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 1 over 32

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2 × 3

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+ 1 over 3

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6 + 1

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7

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Step 1 of 2: Subtract, sub-step c: Find common denominator.

Find common denominator

32 over 9

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32 × 1

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− ( 7 × 3 ) over ( 3 × 3 )

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− 21 over 9

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9 is the least common multiple of denominators 9 and 3. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Subtract, sub-step d: Subtract.

Subtract

32 over 9

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11

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Step 1 of 2: Subtract.

Step 2 of 2: Simplify.

Simplify

11 over 9

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3 years ago
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Step-by-step explanation:

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8 0
2 years ago
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Answer:

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Step-by-step explanation:

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Use Pythagorean theorem

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Subtract the radius to find the distance from earth's surface.

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5 0
3 years ago
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Masja [62]

Answer:

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4 0
3 years ago
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