Question

practice solving problems involving the volume of cylinders, cones, and spheres. what is the volume of the sphere in terms of π? v = \square π in.³ 6 in.

Explanation:

Step1: Recall sphere volume formula

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

Step2: Identify given radius

The radius $r = 6$ in.

Step3: Substitute radius into formula

$$V = \frac{4}{3}\pi (6)^3$$

Step4: Calculate the numerical coefficient

First compute $6^3 = 216$, then $\frac{4}{3} \times 216 = 288$

Answer:

$V = 288\pi$ in.$^3$