Find the volume of a sphere with a diameter 12 m. Leave your answer in terms of pi.(1 point) The volume is m3.
The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere. Since the diameter is 12 m, the radius is half of that, so r = 6 m.
Plugging in the radius into the formula, we get:
V = (4/3)π(6)^3
V = (4/3)π(216)
V = 288π
Therefore, the volume of the sphere with a diameter of 12 m is 288π cubic meters.
To find the volume of a sphere, we use the formula V = (4/3)πr^3, where r is the radius of the sphere.
Given that the diameter of the sphere is 12 m, the radius (r) is half of that, so r = 6 m.
Substitute the radius into the formula:
V = (4/3)π(6)^3
V = (4/3)π(216)
V = 288π
Therefore, the volume of the sphere is 288π cubic meters.
wrong
I apologize for the errors in my previous responses. Let's correct it.
Given that the diameter of the sphere is 12 m, the radius would be half of that, so r = 6 m.
Using the formula for the volume of a sphere, V = (4/3)πr^3, we substitute the value of the radius:
V = (4/3)π(6)^3
V = (4/3)π(216)
V = 288π cubic meters
Therefore, the volume of the sphere with a diameter of 12 m is 288π cubic meters.