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olasank [31]
3 years ago
9

A soccer ball has an interior

Mathematics
2 answers:
iVinArrow [24]3 years ago
6 0
<h2>Answer:</h2>

<u>Volume of soccer ball = 4/3πr³</u>

[Plug the value of r = d/2]

Now, <u>Volume = 4/3π(d/2)³</u>

<u>Volume = 4/3πd³/8</u>

= πd³/6

= 22 × 22³/7 × 6

= 234256/42

= <u>5,577.5cm³ or 5578cm³ approx</u>.

AnnZ [28]3 years ago
4 0

Answer:

5575 cm³

Step-by-step explanation:

The volume of a sphere is V = (4/3)πr³.  If we substitute r = (d/2 where r is the radius and d the diameter), this formula becomes:

                                        πd³

V = (4/3)π·d³/8, or V = -------------

                                           6

and so, if d = 22 cm, the volume is:

        π(22 cm)³

V = ------------------- = 5575 cm³

              6

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MakcuM [25]

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8 = k + 13 - 7 → ( add 7 to both sides )

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12 = k + 13 - 3 → ( add 3 to both sides )

12 + 3 = k + 13 ' is equivalent '


4 0
3 years ago
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Answer:

\boxed{5 \cdot \sqrt{2}  \cdot \sqrt[6]{5} }

Step-by-step explanation:

\sqrt[3]{250} \cdot \sqrt{\sqrt[3]{10} }

\sqrt{\sqrt[3]{10} } \implies (10^\frac{1}{3} )^\frac{1}{2} =10^\frac{1}{6} =\sqrt[6]{10}

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\text{Solving }\sqrt[3]{250} \cdot \sqrt{\sqrt[3]{10} }

250=2 \cdot 5^3

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Once

\sqrt[6]{2}  \cdot \sqrt[6]{5} = \sqrt[6]{10}

We have

5  \sqrt[3]{2} \cdot \sqrt[6]{2}  \cdot \sqrt[6]{5}

We can proceed considering the common base of exponentials

\sqrt[3]{2}  \cdot \sqrt[6]{2}  =  2^{\frac{1}{3}} \cdot  2^{\frac{1}{6} }  = 2^{\frac{3}{6} } = 2^{\frac{1}{2} }=\sqrt{2}

Therefore,

5  \sqrt[3]{2} \cdot \sqrt[6]{2}  \cdot \sqrt[6]{5} = 5 \cdot \sqrt{2}  \cdot \sqrt[6]{5}

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3 years ago
Triangle XYZ is translated 4 units up and 3 units left to yield ΔXYZ. What is the distance between any two corresponding points
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<h3>Answer:</h3>

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<h3>Step-by-step explanation:</h3>

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Answer:

14.9

Step-by-step explanation:

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