the volume of a soap bubble is 1,696.5mm^3 fine the radius and diameter of the soap bubble use 3.14 for __
To find the radius and diameter of the soap bubble, we need to use the formula for the volume of a sphere. The formula is:
V = (4/3) * π * r³
Given that the volume of the soap bubble is 1,696.5 mm³, we can set up the equation:
1,696.5 = (4/3) * π * r³
Rearranging the equation, we can solve for the radius (r):
r³ = (3 * 1,696.5) / (4 * π)
r³ = 1273.875 / π
r³ ≈ 405.572
r ≈ ̴∛405.572
r ≈ 7
So, the radius of the soap bubble is approximately 7 mm.
Now, we can find the diameter by multiplying the radius by 2:
d = 2 * r
d = 2 * 7
d ≈ 14
Therefore, the diameter of the soap bubble is approximately 14 mm.