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What's on the worksheet
- Find the volume of each ball or hemisphere exactly in terms of pi:ball, r = 6 cmball, d = 18 mball, r = \dfrac{3}{2} ftball, r = 0.6 mhemisphere, r = 3 in
- Find the total snow in Hannah's snowman from three balls.
- Find the smallest cube-shaped box a round paper lantern fits in.
- Find the wall thickness of a hollow ceramic ball from the clay used.
- Decide whether a hemisphere bowl or a cone holds more using the volume formulas.
- Decide whether soup from a hemisphere bowl overflows a cylindrical mug.
- Estimate how many gumballs fill a globe if they fill 64 percent of the space.
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The free lesson teaches it with worked examples and practice problems.
Volume of a sphere: the lesson ›More Chapter 12 worksheets: Area and volume
- 12.1The apothem of a regular polygon
- 12.2Area of a regular polygon
- 12.3The five regular solids
- 12.4Cavalieri's principle
- 12.5Why the volume formulas hold: dissection, slicing and Cavalieri
- 12.6Surface area of pyramids and cones
- 12.7Surface area of a sphere
- 12.8Solids of revolution
- 12.9Modeling with solids: density and design
- 12.10Volume of a cylinder
- 12.11Volume of pyramids and cones
- 12.12Volume of a sphere