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09-05-2020
Mathematics

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Given cube inscribed in sphere with edges √243 cm. Find the volume of sphere

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09-05-2020

Answer:

10,300.77 cm³

Step-by-step explanation:

Radius = ½(diameter)

Diagonal:

sqrt[243 + 243]

sqrt(486)

Diameter

sqrt(486 + 243)

27

Radius: 27/2

Volume of sphere:

4/3 × pi × r³

4/3 × 3.14 × (27/2)³

10300.77 cm³

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