Skills · Geometry · Area & Volume

Volume and surface area of spheres

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

• the volume: a sphere with radius 3
• the surface area: the surface area of a sphere with radius 5
• the diameter labeled: a sphere with diameter 6
• the volume given, the radius missing: The volume is 36π. Find the radius.

Sample Sheet · Level 1

1. 
   Find the volume.
2. 
   Find the surface area.
3. 
   Find the volume.
4. 
   Find the surface area.
5. 
   Find the volume.
6. 
   Find the surface area.
7. 
   Find the surface area.
8. 
   Find the volume.

Answer key

1. 2,304π cubic units
2. 64π square units
3. 288π cubic units
4. 324π square units
5. 4,500π cubic units
6. 16π square units
7. 484π square units
8. 36π cubic units

Sample Sheet · Level 3

1. 
   The volume is 972π. Find the radius.
2. 
   Find the volume.
3. 
   Find the surface area.
4. 
   Find the volume.
5. 
   The volume is 288π. Find the radius.
6. 
   Find the surface area.
7. 
   Find the surface area.
8. 
   Find the surface area.

Answer key

1. 9 units
2. 36π cubic units
3. 576π square units
4. 4,500π cubic units
5. 6 units
6. 400π square units
7. 64π square units
8. 676π square units

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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