Question

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?

Answer 1

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

`V=(4)/(3)\pi r^3`

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

`\begin{gathered} V=(4)/(3)\cdot3.1416\cdot1.83^3 \\ V=25.67\text{ m}^3 \end{gathered}`

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

1 m³ = 1000 L

So:

`V=25.67\cdot1000=25670\text{ L}`

Therefore the volume of the sphere is 25670 L.