Question

solution
5 the volume of a sphere is $288\pi$. what is the diameter of the sphere? record your answer on the grid. then fill in the bubbles.

Explanation:

Step1: Recall sphere volume formula

The volume $V$ of a sphere is given by $V = \frac{4}{3}\pi r^3$, where $r$ is the radius.

Step2: Substitute given volume

We know $V = 288\pi$, so substitute into the formula:
$288\pi = \frac{4}{3}\pi r^3$

Step3: Cancel $\pi$ and solve for $r^3$

Divide both sides by $\pi$, then multiply by $\frac{3}{4}$:
$r^3 = 288 \times \frac{3}{4} = 216$

Step4: Calculate radius $r$

Take the cube root of 216:
$r = \sqrt[3]{216} = 6$

Step5: Find diameter $d$

Diameter is twice the radius: $d = 2r$
$d = 2 \times 6 = 12$

Answer:

12