Question

What is the radius of the sphere? What is the volume of the spherical stone?

Answer 1

`\begin{gathered} R=4ft \\ V=(256)/(3)\pi ft³ \end{gathered}`

1) Since the sphere has a diameter of approximately 8 feet, then we can tell that:

`D=2R,\Rightarrow2R=8\Rightarrow(2R)/(2)=(8)/(2)\Rightarrow R=4ft`

Note that the radius is always half the diameter.

2) Now, let's find the volume of this sphere. Note that there is a formula for the volume of a sphere. This is:

`\begin{gathered} V=(4)/(3)\cdot\pi\cdot R^3 \\ V=(4)/(3)\pi\cdot4^3 \\ V=(4)/(3)\pi *64 \\ V=(256)/(3)\pi ft³ \end{gathered}`