Answer:
The diameter is 8.6cm
Step-by-step explanation:
Given
Shape: Sphere
[tex]Volume = 332cm^3[/tex]
Required
Determine the diameter of the sphere
First, calculate the radius using:
[tex]Volume = \frac{4}{3} \pi r^3[/tex]
Substitute: [tex]Volume = 332cm^3[/tex]
[tex]332= \frac{4}{3} \pi r^3\\[/tex]
Solve for r
[tex]r^3 = \frac{332 * 3}{4 * \pi}[/tex]
[tex]r^3 = \frac{996}{4 * \pi}[/tex]
[tex]r^3 = \frac{249}{\pi}[/tex]
[tex]r^3 = \frac{249}{3.142}[/tex]
[tex]r^3 = 79.25[/tex]
Take cube roots
[tex]r = \sqrt[3]{79.25}[/tex]
[tex]r = 4.3[/tex]
Diameter (D) is calculated as:
[tex]D = 2r[/tex]
[tex]D = 2 * 4.3[/tex]
