Find the volume of the sphere on the left.
52in cubed
To find the volume of a sphere, we use the formula:
Volume = (4/3) x π x r³
where r is the radius of the sphere.
However, we are not given the radius directly. We are given the volume instead.
To find the radius from the given volume, we can rearrange the formula:
r = (3V / (4π))^(1/3)
Now, we can substitute the given volume of 52 in³ into the formula:
r = (3 x 52 / (4 x π))^(1/3)
Simplifying,
r = (156 / (4π))^(1/3)
Using a calculator to evaluate this,
r ≈ 2.937 inches
Now that we have the radius, we can substitute it back into the original volume formula to find the volume:
Volume = (4/3) x π x (2.937)^3
Evaluating this,
Volume ≈ 115.06 in³
Therefore, the volume of the sphere on the left is approximately 115.06 cubic inches.