Question

What is the exact volume of a sphere with a radius of 3.5 cm?
179.50 π cm³
51.29 π cm³
16.33π cm³
57.17 π cm³
HELP!

Answer 1

Answer: Option (4) 57.17 π cm³

Step-by-step explanation:

Hi! You need to know the volume of the sphere formula to solve this problem.

Volume of Sphere formula: $\[\fbox{ \( V = \frac{4}{3} \pi r^3 \)}\]$

• $\item \( V \) is the volume of the sphere$
• $\item \( \pi \) is a constant (We don't need to evaluate this)$

• $\begin{itemize} \item \( r \) is the radius of the sphere\end{itemize}$

If you notice, the only value we need to get the volume of the sphere is the radius which we are given. So all we need to do is plug in what we are given and solve.

Solving:

Given : $r=3.5~cm$

Plug in radius into volume equation:

$V = \frac{4}{3} \pi (3.5)^3 \endV = 1.333\times42.875\times\pi ~\approx \ 57.17 \pi \, \text{cm}^3$

Meaning Option 4 is correct!

That's it!