Question

What is the diameter of a sphere with a volume of 334 cm^3 to the nearest tenth of a centimeter

Answer 1

Step-by-step explanation

We will use the volume formula to find the radius,

`\begin{gathered} V=(4)/(3)\pi r^3 \\ 334=(4)/(3)\pi r^3 \\ (334*3)/(4\pi)=r^3 \\ (1002)/(4\pi)=r^3 \\ 79.7370\approx r^3 \\ r\approx\sqrt[3]{79.7370} \\ r\approx4.3041cm \end{gathered}`

And if that is the radius, then the diameter must be:

`Diameter=4.3041*2=8.6082\approx8.6\text{ cm}`

Answer

Approximately 8.6 cm