Sphere

• What is the formula for the volume of a sphere?

  Vsphere = $\frac{4}{3}\pi r^3$
• If $3x =$$288\pi$, what is the value of $x$?


  $x =$$96\pi$
• What is the volume of a sphere if $Vsphere =$$144\pi$?


  The volume is $144\pi$
• What is the value of $Vsphere$ given as $Vsphere =$$144\pi$?


  144π
• How is $Vsphere$ expressed in terms of $x$?


  $Vsphere =$$x \cdot 63$
• If $Vsphere =$$x \cdot 63$ and $Vsphere =$$144\pi$, how can you find $x$?


  Set $x \cdot 63 =$$144\pi$
• What relationship exists between $3x$ and $288\pi$?


  $3x =$$288\pi$
• What is the numerical coefficient of $Vsphere$ when expressed as $Vsphere =$$144\pi$?


  144
• What does $Vsphere =$$x \cdot 63$ imply about $x$?


  $x$ scales the volume by 63
• If $Vsphere =$$144\pi$, what can you conclude about the radius?


  Radius can be calculated from volume