Question

The volume of a sphere is 972 π cm^3.

What is the diameter of the sphere?

Answer 1

`\large \boxed{\text{18 cm}}`

Explanation:

The formula for the volume (V) of a sphere is:

V = ⁴/₃πr³

We can use this equation to calculate the radius (r) and from there get the diameter (D).

`\begin{array}{rcl}V & = & (4)/(3) \pi r^(3)\\\\972 \pi & = & (4)/(3) \pi r^(3)\\\\972 & = & (4)/(3) r^(3)\\\\2916 & = & 4r^(3)\\729 & = & r^(3)\\r&=&\text{9 cm}\\\end{array}\\D = 2r = 2 * \text{9 cm}= \textbf{18 cm}\\\text{The diameter of the sphere is $\large \boxed{\textbf{18 cm}}$}`