SAT Question d621cffb: Area and Volume answer and explanation with Desmos solution

Choice D is correct. The volume, $V$, of a sphere can be found using the formula $V=\frac{4}{3}\pi r^3$, where $r$ is the radius of the sphere. It's given that the sphere has a radius of $\frac{17}{5}$ feet. Substituting $\frac{17}{5}$ for $r$ in the formula $V=\frac{4}{3}\pi r^3$ yields $V=\frac{4}{3}\pi {\left(\frac{17}{5}\right)}^3$, which is equivalent to $V=\frac{4}{3}\pi \left(\frac{4,913}{125}\right)$, or $V=\frac{19,652\pi }{375}$. Therefore, the volume, in cubic feet, of the sphere is $\frac{19,652\pi }{375}$.