With a ruler, Diamond determines the diameter of a golf ball to be 4.2 centimeters (a radius of 2.1 cm) and the diameter of a practice softball to be 8.4 centimeters (a radius of 4.2 cm). Diamond erroneously claims that the softball has twice the volume of the golf ball. In a short paragraph, explain Diamonds misconceptions. Use the formula for the volume of a sphere to determine the volume of both the golf ball and the softball in cubic centimeters and then compare their volumes. (Hint: Golf Ball Volume V = 4/3 π r3 ; V = 4/3 ∙ (3.14) ∙ (2.1)3 )

(Hint: Softball Volume V = 4/3 π r3 ; V = 4/3 ∙ (3.14) ∙ (4.2)3 )