Question

What is the radius of a sphere with a volume of 996 cm", to thenearest tenth of a centimeter?

Answer 1

The volume of a sphere is:

Since we know V = 996 cm^3, then we need to find r

`\begin{gathered} V=(4)/(3)\pi r^3 \\ r^3=(3)/(4)\cdot(V)/(\pi) \\ r=\sqrt[3]{(3)/(4)\cdot(V)/(\pi)} \\ r=\sqrt[3]{(3)/(4)\cdot(996)/(\pi)} \end{gathered}`

The value of r is 6.195, but approaching to the nearst tenth, r = 6.2