Question

How do I find the volume of the spear in terms of pie??

Answer 1

Given:

`\begin{gathered} A\text{ sphere with a diameter of 12ft} \\ d=12ft \end{gathered}`

Hence, the volume of the sphere is gotten using the formula;

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

`\begin{gathered} d=12ft \\ r=(d)/(2)=(12)/(2) \\ r=6ft \end{gathered}`

Hence, substituting the value of the radius into the volume of the sphere;

`\begin{gathered} V=(4)/(3)\pi r^3 \\ V=(4)/(3)*\pi*6^3 \\ V=(4)/(3)*\pi*216 \\ V=(864\pi)/(3) \\ V=288\pi ft^3 \end{gathered}`

Therefore, the volume of the sphere in terms of pi is;

`V=288\pi ft^3`