which sphere has a volume of 0.288π in³?

Question

Accepted Answer

# Explanation:
## Step1: Recall the volume formula for a sphere
The volume formula for a sphere is $V=\frac{4}{3}\pi r^{3}$, where $r$ is the radius of the sphere.
## Step2: Calculate the radius for the given volume
Given $V = 0.288\pi$. Substitute into the formula:
$$
\begin{align*}
0.288\pi&=\frac{4}{3}\pi r^{3}\
0.288&=\frac{4}{3}r^{3}\
r^{3}&=0.288\times\frac{3}{4}\
r^{3}& = 0.216\
r&=\sqrt[3]{0.216}\
r&= 0.6
\end{align*}
$$

# Answer:
The sphere with radius $0.6$ in. (the bottom - right sphere) has a volume of $0.288\pi\space in^{3}$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Recall the volume formula for a sphere

Step2: Calculate the radius for the given volume

Answer: