3
QuizMultiple Choice

Spherical and Cubic Volume Applications — Quiz

Question 3 • Foundations of Math 1

If the diameter of a youth softball is 3 point 5 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 of a cubic inch. Recall the formula Sphere cap v is equal to 4 thirds pi r cubed

Answer
A
51 point 1 cubic inches
B
67 point 0 cubic inches
C
6 point 3 cubic inches
D
409 point 2 cubic inches

Explanation

The radii are half the diameters: 3.5 ÷ 2 = 1.75 inches and 3.8 ÷ 2 = 1.9 inches. Using the sphere formula, the volume difference is (4/3)(3.14)(1.9³ − 1.75³) ≈ 6.278 cubic inches, which rounds to 6.3 cubic inches. The correct choice is 6.3 cubic inches.

AI-written and checked against the verified answer.

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