Find the volume of a sphere with a diameter of 6 centimeters
A. 36pi cubic centimeters
B. 9pi cubic centimeters
C. 288pi cubic centimeters
D. 12pi cubic centimeters
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere.
Given that the diameter of the sphere is 6 cm, the radius is half of the diameter, which is 6/2 = 3 cm.
Substitute the radius into the formula:
V = (4/3)π(3)³
V = (4/3)π(27)
V = 36π
Therefore, the correct answer is:
A. 36π cubic centimeters