The volume of a sphere is given by V(r) = 4/3*pi*r3. Find the volume of the sphere when the diameter is 8 m.
What is (4/3)π(8/2)³ ?
To find the volume of a sphere when the diameter is given, you can use the formula V(r) = 4/3 * π * r^3, where r is the radius.
First, let's find the radius. The diameter is given as 8 m, which means the radius is half of that value. So the radius (r) is 8 m / 2 = 4 m.
Now, substitute the value of the radius (r) into the formula:
V(4) = 4/3 * π * 4^3
Simplifying this equation, we have:
V(4) = 4/3 * π * 64
Now, the value of π is approximately 3.14, so replacing π with its value:
V(4) = 4/3 * 3.14 * 64
V(4) = (4 * 3.14 * 64) / 3
V(4) = 268.19 m^3
Therefore, the volume of the sphere when the diameter is 8 m is approximately 268.19 cubic meters.