Question

The diameter of a sphere is 12 centimeters.

What is the volume of the sphere?
Use 3.14 for pi.
Enter your answer, as a decimal, in the box.

Answer 1

`\huge\begin{array}{ccc}V=904.32cm^3\end{array}`

Volume of a sphere.

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

`V` - volume

`\pi` - constant (this is an irrational number - π = 3.14159265359...)

`R` - radius of a sphere

SOLUTION:

We have the diameter:

`D=12cm`

We know:

`D=2R\to 2R=12cm\to \boxed{R=6cm}`

Substitute:

`V=(4)/(3)\pi\cdot6^3=(4)/(3)\pi\cdot216=(4\cdot216:3)/(3:3)\pi=4\cdot72\pi=288\pi(cm^3)`

Use
`\pi\approx3.14`:

`V\approx288\cdot3.14cm^3=904.32cm^3`