Spheres; Surface Area of a sphere; Volume of a sphere

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  Spheres
  A sphere is defined as the set of all points in space that are a given distance from a given point.
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  Surface Area of a sphere
  The surface area of a sphere equals 4 times the square of the radius.
  Surface Area
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  Volume of a sphere
  Volume of a sphere equals times the cube of the radius.
  Volume
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  Example 1
  Find the surface area and the volume of a sphere with radius 2 cm.
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  Example 2
  The surface area of a sphere is 256. Find the volume.
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  Example 3
  A plane passes 4 cm from the center of a sphere with radius 7 cm. Find the area of the circle of intersection.
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  Example 4
  A scoop of ice cream with diameter 6 cm is placed in an ice-cream cone with diameter 5 cm and height 12 cm. Is the cone big enough to hold all the ice cream if it melts?
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  Example 5
  A sphere is inscribed in a cylinder. Show that the area of the sphere equals the lateral area of the cylinder.
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