Question

If the amount of air in a spherical balloon is 288π cu. in.,what is the radius of the balloon?

Answer 1

Step-by-step explanation

Step 1

the volume of a sphere is given by

`\begin{gathered} \text{Volume}=(4)/(3)\text{ }\pi r^3 \\ \text{where r is the radius} \end{gathered}`

then

Step 1

Let

`\begin{gathered} \text{Volume}=\text{ 288 }\pi\text{ (cubic units)} \\ \text{radius= r} \\ \text{replace and solve for r} \end{gathered}`

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