Question

A model of Spaceship Earth, a major tourist attraction at Epcot Center in Florida, is a sphere whose diameter is approximately 5 inches.The volume of the model sphere is approximately ___ cubic inches.Use 3.14 for pi. Round only your final answer to the nearest hundredth.

Answer 1

The Volume of the model sphere is given as

`V_{\text{sphere}}=(4)/(3)\pi r^3`

Given that the diameter is 5inches, the radius will be

`\begin{gathered} \text{diameter,d}=2* radius \\ r=(d)/(2)=(5)/(2)\text{inches} \\ r=2.5\text{inches} \end{gathered}`

substituting r in the formula will give

`\begin{gathered} V_{\text{sphere}}=(4)/(3)*3.14*(2.5)^3 \\ =(4)/(3)*3.14*76.765625 \\ =(964.17625)/(3) \\ =321.3922\text{cubic inches} \end{gathered}`
`V_{\text{sphere}}=321.39\text{cubic inches}`

Hence, the volume of the model sphere is approximately 321.39 cubic inches