Question

q 5) find the volume of the following figure using the appropriate formula. sphere: v = 4/3πr³ use 22/7 for π 1 1/2 in

Explanation:

Step1: Identify the radius

The radius $r = 1\frac{1}{2}=\frac{3}{2}$ inches.

Step2: Apply the volume - formula for a sphere

The volume formula of a sphere is $V=\frac{4}{3}\pi r^{3}$. Substitute $r = \frac{3}{2}$ and $\pi=\frac{22}{7}$ into the formula:
\[

$$\begin{align*} V&=\frac{4}{3}\times\frac{22}{7}\times(\frac{3}{2})^{3}\\ &=\frac{4}{3}\times\frac{22}{7}\times\frac{27}{8}\\ &=\frac{4\times22\times27}{3\times7\times8}\\ &=\frac{4\times22\times27}{168}\\ &=\frac{2376}{168}\\ &=\frac{99}{7}\\ & = 14\frac{1}{7}\text{ in}^3 \end{align*}$$

\]

Answer:

$14\frac{1}{7}$ in$^{3}$