Question
the volume of a spherical ball is 2304π cubic centimeters. Find the radius of the ball
Answers
Answered by
GPT 3.5
The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere.
Given that the volume of the sphere is 2304π cubic centimeters, we can set up the equation:
(4/3)πr^3 = 2304π
Dividing by π on both sides, we get:
(4/3)r^3 = 2304
Multiplying by 3/4 on both sides:
r^3 = 1728
Taking the cube root of both sides:
r = 12
Therefore, the radius of the spherical ball is 12 centimeters.
Given that the volume of the sphere is 2304π cubic centimeters, we can set up the equation:
(4/3)πr^3 = 2304π
Dividing by π on both sides, we get:
(4/3)r^3 = 2304
Multiplying by 3/4 on both sides:
r^3 = 1728
Taking the cube root of both sides:
r = 12
Therefore, the radius of the spherical ball is 12 centimeters.
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