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Which solid has the greatest volume?

a)A right cylindrical cylinder with a radius of 4 inches;

b)A cube with a side of length of 4 inches; or

c) a sphere with a radius of 4 inches?

**. The volume error is indicated by the dV.**

*V = πr*^{2}h
Volume is measured in “cubic” units. The volume of a figure is the number of cubes required to fill it completely, like blocks in a box.

Volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed.

Volume Formulas:

cube = a^{ 3 }^{ }cylinder =bh = pir^{ 2}h= π( 4^{2})h=16πhsphere = (4/3)pi r^{3 }= (4/3)π(4^{3})= (256⁄3)π^{ }