4
QuizMultiple Choice

Introduction to the Volume of a Sphere — Quiz

Question 4 • Foundations of Math 1

A sphere has a radius of 16 inches Which statements about the sphere are true? Choose three correct answers.

Answer
A
The volume of the sphere is the fraction with numerator 2 comma 048 and denominator 3 pi in cubed .
B
The radius’s length is one-half the length of the diameter.
C
The volume of the sphere is the fraction with numerator 16 comma 384 and denominator 3 pi in cubed .
D
The diameter’s length is one-half the length of the radius.
E
The sphere has a diameter of 32 inches .
F
The sphere has a diameter of 8 inches .

Explanation

The diameter is twice the radius, so a radius of 16 inches gives a diameter of 2 × 16 = 32 inches. This makes the radius one-half the diameter, and the statement that the diameter is 32 inches is true. The sphere’s volume is (4/3)πr³ = (4/3)π(16³) = (16,384/3)π cubic inches, matching the stated volume in choice C.

AI-written and checked against the verified answer.

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