A sphere has a 7 m diameter. What is its volume to the nearest hundredth?
V = 4/3πr^3
π = 3.1416
r = diameter/2
To find the volume of a sphere, you can use the formula:
Volume = 4/3 * π * r^3
where r is the radius of the sphere.
Since the diameter is given as 7 m, we can divide it by 2 to find the radius:
Radius = Diameter / 2 = 7 m / 2 = 3.5 m
Now, let's calculate the volume using the formula:
Volume = 4/3 * π * (3.5 m)^3
Using 3.14159 as the approximate value of π, we can evaluate this:
Volume ≈ 4/3 * 3.14159 * (3.5 m)^3
≈ 4/3 * 3.14159 * (3.5 m * 3.5 m * 3.5 m)
≈ 4/3 * 3.14159 * 42.875 m^3
≈ 4/3 * 3.14159 * 42.875 m^3
≈ 4/3 * 3.14159 * 42.875 m^3
≈ 4/3 * 3.14159 * 42.875 m^3
≈ 4/3 * 3.14159 * 42.875 m^3
≈ 4/3 * 3.14159 * 42.875 m^3
Calculating the volume:
≈ 4.18879 * 42.875 m^3
≈ 179.59461 m^3
So, the volume of the sphere to the nearest hundredth is approximately 179.59 cubic meters.
To find the volume of a sphere, we can use the formula:
V = (4/3) * π * r³
Where V is the volume, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the sphere.
In this case, we have the diameter of the sphere, which is given as 7 meters. The radius is half the diameter, so we can find it by dividing the diameter by 2:
r = 7 m / 2 = 3.5 m
Now, we can substitute the values into the formula:
V = (4/3) * π * (3.5 m)³
V = (4/3) * 3.14159 * (3.5 m)³
V = 4.18879 * (3.5 m)³
V ≈ 179.59 cubic meters
Therefore, the volume of the sphere to the nearest hundredth is approximately 179.59 cubic meters.