a snow globe has a diameter of 6 inches.find its exact volume.then approximate its volume using 3.14 for [pi]
Exact volume = pi D^3/6 = 113.097.. in^3
Approximate = 3.14 D^3/6 = 113.040 in^3
To find the exact volume of the snow globe, we need to know the formula for the volume of a sphere. The formula is:
V = (4/3)πr³
where V represents the volume and r represents the radius of the sphere.
Given that the diameter of the snow globe is 6 inches, we can calculate the radius by dividing the diameter by 2:
r = 6 inches / 2 = 3 inches
Now we can substitute the value of the radius into the formula to find the exact volume:
V = (4/3)π(3 inches)³
V = (4/3)π(27 inches³)
V = (4/3)π(27 inches³)
V = (4/3)(3.14)(27 inches³)
V ≈ 113.04 inches³
Therefore, the exact volume of the snow globe is approximately 113.04 cubic inches.
To approximate the volume using 3.14 for π, we can use the same formula but substitute the value of π:
V ≈ (4/3)(3.14)(27 inches³)
V ≈ (4/3)(3.14)(27 inches³)
V ≈ (4/3)(3.14)(27 inches³)
V ≈ 113.04 inches³
So, the approximate volume is also 113.04 cubic inches when using 3.14 for π.