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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.

User Kubrick G
by
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1 Answer

2 votes


\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

User Haytch
by
9.0k points

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