Question

What is the volume of a sphere with a diameter of 12

Answer 1

Answer:
`288\pi`

Step-by-step explanation: We know that the formula for the volume of a sphere is
`(4)/(3) * \pi *r^3`. We can find the radius of the sphere by dividing the diameter by 2, which gives us r = 6. Plugging those into the formula ->

`(4)/(3) *\pi *(6)^3`. We find that the volume of a sphere with a diameter of 12, is
`288\pi` or volume is around 904.78.

Answer 2

v = 904.78 cubic units

Explanation:

We can find the volume of a sphere using the formula V = (4/3)πr^3, where r is the radius of the sphere.

Since the diameter of the sphere is given as 12, we can find the radius by dividing it by 2:

r = d/2 = 12/2 = 6

Now we can substitute the value of r into the formula:

V = (4/3)πr^3 = (4/3)π(6)^3

Simplifying this expression, we get:

V = (4/3)π216

V = 904.78 cubic units (rounded to two decimal places)

Therefore, the volume of the sphere with a diameter of 12 units is approximately 904.78 cubic units.