Studies of this type are important, because as the radius of the sphere gets larger, so does the error generated by using an approximate value. Using a radius of r = 18 cm with the approximate relationship [V ≈ 0.09 (4π 182)3/2], gives a volume of near 23,381.6 cm3, while the volume found using the exact value for k is about 24,429.0 cm3.
Use this Strengthening Core Skills feature to find the exact constant of variation for the following relationship: The volume of a cube varies directly with its surface area to the three-halves power.
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