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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?
♦ Relevant knowledgeThe solid’s capacity is known as “the volume” of the material. The volume of the cylinder is given by the formula V = πr2h. The volume error is indicated by the dV.
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 2h= π( 42)h=16πh
sphere = (4/3)pi r3 = (4/3)π(43)= (256⁄3)π