Question

the radius of a ball is 3 cm. what is the volume of the ball? hint: use the formula sheet to determine the formula(s) needed to solve the problem. a 24π cm³ b 36π cm³ c 6π cm³ d 9π cm³ e 12π cm³

Explanation:

Step1: Recall volume formula for sphere

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

Step2: Substitute given radius

Given $r = 3$ cm. Substitute $r$ into the formula: $V=\frac{4}{3}\pi(3)^{3}$.

Step3: Calculate the volume

First, $(3)^{3}=3\times3\times3 = 27$. Then, $\frac{4}{3}\times27 = 36$. So $V = 36\pi$ $cm^{3}$.

Answer:

B. $36\pi$ $cm^{3}$