Question

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

Answer 1

Solution:

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;

$V=\frac{4}{3}\pi r^3$

$\begin{gathered} d=12ft \\ r=\frac{d}{2}=\frac{12}{2} \\ r=6ft \end{gathered}$

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

$\begin{gathered} V=\frac{4}{3}\pi r^3 \\ V=\frac{4}{3}\times\pi\times6^3 \\ V=\frac{4}{3}\times\pi\times216 \\ V=\frac{864\pi}{3} \\ V=288\pi ft^3 \end{gathered}$

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

$V=288\pi ft^3$