Answered

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QuestionOn New Year's Eve the famous ball drops in Times Square. The crystal ball is 3.66 meters in diameter and weighs nearly 6tons. What volume can a sphere of this size hold? Report your answer in L but do not include the unit L in your answerbox. Round your answer to the nearest whole L. When entering your final answer do not include any commas. Theformula for the volume of a sphere is V =jar?

Sagot :

In order to calculate the volume of a sphere, we can use the formula:

[tex]V=\frac{4}{3}\pi r^3[/tex]

If the diameter is 3.66 meters, the radius is 1.83 meters, so we have:

[tex]\begin{gathered} V=\frac{4}{3}\cdot3.1416\cdot1.83^3 \\ V=25.67\text{ m}^3 \end{gathered}[/tex]

In order to convert from cubic meters to liters, we can use the relation:

1 m³ = 1000 L

So:

[tex]V=25.67\cdot1000=25670\text{ L}[/tex]

Therefore the volume of the sphere is 25670 L.

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