Question

question 1 of 10
what is the volume of a sphere with a radius of 6 units?

a. 864π units³
b. 288π units³
c. 216π units³
d. 144π units³

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 $r=6$ into formula

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

Step3: Calculate $6^3$

$6^3 = 6\times6\times6 = 216$

Step4: Compute the final value

$V = \frac{4}{3}\pi \times 216 = 4\pi \times 72 = 288\pi$

Answer:

B. $288\pi$ units$^3$