Question

the radius of the sphere is 6mm. what is the volume? ≈904.77 mm³ 48π mm³ 288π mm³ 288π mm²

Explanation:

Step1: Recall volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$.

Step2: Substitute radius value

Given $r = 6$ mm, substitute into the formula: $V=\frac{4}{3}\pi\times(6)^{3}$.

Step3: Calculate $(6)^{3}$

$(6)^{3}=6\times6\times6 = 216$.

Step4: Calculate volume

$V=\frac{4}{3}\pi\times216$. $\frac{4}{3}\times216 = 288$, so $V = 288\pi$ $mm^{3}$.

Answer:

288π $mm^{3}$