A sphere has a diameter of 24 units. What is its volume in cubic units?
The radius of the sphere is half of the diameter, which is 12 units.
The volume of a sphere is given by the formula V = (4/3)πr^3,
where π is approximately equal to 3.14.
Substituting the values,
V = (4/3) x 3.14 x (12 units)^3
V = 7238.23 cubic units (rounded to two decimal places)
Therefore, the volume of the sphere is 7238.23 cubic units.
To find the volume of a sphere, you need to use the formula:
V = (4/3)πr³
where V is the volume and r is the radius of the sphere.
Given that the diameter of the sphere is 24 units, we can find the radius by dividing the diameter by 2:
r = 24 / 2 = 12 units
Now we can substitute the value of the radius into the formula and calculate the volume. Using the value of π as approximately 3.14:
V = (4/3)π(12)³
= (4/3)(3.14)(12)³
≈ 4.18879 × 12³
≈ 4.18879 × 1728
≈ sphere volume
Therefore, the volume of the sphere is approximately sphere_volumetric_units cubic units.
To find the volume of a sphere, you can use the formula: V = (4/3)πr³.
Given that the diameter of the sphere is 24 units, the radius (r) is half of the diameter, which is 24/2 = 12 units.
Now, substitute the value of the radius into the volume formula:
V = (4/3)π(12)³
Now, perform the calculations:
V = (4/3)π(1728)
V = (4/3)(π)(1728)
V ≈ 7238.229473870883
Therefore, the volume of the sphere is approximately 7238.23 cubic units.