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

Question

Accepted Answer

# 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$^{3}$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Identify the radius

Step2: Apply the volume - formula for a sphere

Answer: