To find the diameter of a sphere when given its volume, we can use the formula:
Volume = (4/3) * π * (radius)^3
In this case, the volume of the sphere is given as 1.372 cubic inches.
Let's solve the formula for the radius:
1.372 = (4/3) * π * (radius)^3
To isolate the radius, we can divide both sides of the equation by (4/3) * π:
1.372 / [(4/3) * π] = (radius)^3
Simplifying further:
1.372 * (3/4π) = (radius)^3
Now, we can take the cube root of both sides to find the radius:
radius = (1.372 * (3/4π))^(1/3)
Calculating the value:
radius ≈ 0.538 inches (rounded to three decimal places)
The diameter of the sphere is twice the radius, so:
diameter ≈ 2 * 0.538 ≈ 1.076 inches (rounded to three decimal places)
I hope this helps! :)
