10
QuizMultiple Choice

Spherical and Cubic Volume Applications — Quiz

Question 10 • Foundations of Math 1

If the diameter of a youth baseball is 2 point 8 inches and the diameter of an adult softball is 3 point 8 inches, what is the approximate difference in their volumes? Use 3 point 1 4 for pi Round to the nearest tenth. Recall the formula Sphere cap v is equal to 4 thirds pi r cubed

Answer
A
40 point 2 cubic inches
B
1 point 0 cubic inch
C
137 point 8 cubic inches
D
17 point 2 cubic inches

Explanation

The radii are half the diameters: 1.4 inches for the youth baseball and 1.9 inches for the adult softball. Using the sphere volume formula, the difference is (4/3)(3.14)(1.9³ − 1.4³) ≈ 17.2 cubic inches. The approximate difference is 17.2 cubic inches, choice D.

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