8
QuizMultiple Choice

Introduction to the Volume of a Sphere — Quiz

Question 8 • Foundations of Math 1

A sphere has a diameter of 8 centimeters Which statements about the sphere are true? Choose three correct answers.

Answer
A
The volume of the sphere is 256 thirds pi cm cubed .
B
The radius’s length is twice the length of the diameter.
C
The volume of the sphere is 2048 thirds pi cm cubed .
D
The sphere has a radius of 16 cm.
E
The diameter’s length is twice the length of the radius.
F
The sphere has a radius of 4 centimeters .

Explanation

The radius is half the diameter, so an 8-centimeter diameter gives a radius of 4 centimeters. The sphere’s volume is (4/3)πr³ = (4/3)π(4³) = (256/3)π cubic centimeters. Thus the true statements are that the volume is (256/3)π cm³, the diameter is twice the radius, and the radius is 4 centimeters.

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