Question

q 5.) find the volume of the following figure using the appropriate formula. sphere: v = \frac{4}{3}pi r^{3} use \frac{22}{7} for pi. answer ________

Explanation:

Step1: Identify the radius

The radius $r = \frac{1}{2}$ in.

Step2: Apply the volume - formula for a sphere

The volume formula for a sphere is $V=\frac{4}{3}\pi r^{3}$. Substitute $r = \frac{1}{2}$ into the formula: $V=\frac{4}{3}\times\pi\times(\frac{1}{2})^{3}$.

Step3: Simplify the expression

First, calculate $(\frac{1}{2})^{3}=\frac{1}{8}$. Then $V=\frac{4}{3}\times\pi\times\frac{1}{8}=\frac{4\pi}{24}=\frac{\pi}{6}$. Using $\pi=\frac{22}{7}$, we have $V=\frac{1}{6}\times\frac{22}{7}=\frac{22}{42}=\frac{11}{21}$ in³.

Answer:

$\frac{11}{21}$ in³