Question

the radius of a sphere is 3 inches. which represents the volume of the sphere? 12π cubic inches 36π cubic inches 64π cubic inches 81π cubic inches

Explanation:

Step1: Recall sphere volume formula

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

Step2: Substitute radius $r=3$

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

Step3: Calculate $3^3$ and simplify

First, $3^3 = 27$. Then:
$$V = \frac{4}{3}\pi \times 27 = 4\pi \times 9 = 36\pi$$

Answer:

B. 36π cubic inches