Question

What is the diameter of a sphere with a volume of 72 in”, to thenearest tenth of an inch?

Answer 1

The volume of a sphere can be calculated with the following equation:

`V=(4)/(3)\pi r^3`

Where V is the volume and r is the radius.

We can manipulate the equation and solve for:

`r^3=(3)/(4\pi)V`
`r^{}=\sqrt[3]{(3)/(4\pi)V}`
`\begin{gathered} r^{}=\sqrt[3]{(3)/(4\pi)72in^3} \\ r\approx2.580762in \end{gathered}`

The diameter is twice the radius (2*2.580762in), giving 5.1615in, rounded to 5.2in