4. if a sphere has a volume of 904.32 cm³, what is its diameter?
a. 12 cm
b. 14 cm
c. 10 cm
d. 16 cm

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 $V$ is the volume and $r$ is the radius.
## Step2: Solve for the radius $r$
Given $V = 904.32\space cm^{3}$, we substitute into the formula:
$$
\begin{align*}
904.32&=\frac{4}{3}\pi r^{3}\
r^{3}&=\frac{904.32\times3}{4\pi}\
r^{3}&=\frac{2712.96}{4\times3.14}\
r^{3}&=\frac{2712.96}{12.56}\
r^{3}& = 216\
r&=6\space cm
\end{align*}
$$
## Step3: Calculate the diameter $d$
Since $d = 2r$, and $r = 6\space cm$, then $d=2\times6 = 12\space cm$

# Answer:
A. 12 cm

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Recall the volume formula for a sphere

Step2: Solve for the radius \(r\)

Step3: Calculate the diameter \(d\)

Answer: