Find the volume of the sphere on the left.
52in cubed Use 3.14 for pie
To find the volume of a sphere, you can use the formula: V = (4/3)πr^3, where V is the volume and r is the radius.
In this case, we are given that the volume of the sphere is 52 in^3. Let's denote the radius as r.
52 = (4/3) * 3.14 * r^3
To find the value of r, we need to solve this equation. We can start by dividing both sides of the equation by (4/3) * 3.14 to isolate r^3:
52 / ((4/3) * 3.14) = r^3
Next, multiply both sides of the equation by ((4/3) * 3.14) to solve for r^3:
r^3 = (52 / ((4/3) * 3.14))
Now, take the cube root of both sides of the equation to find the value of r:
r = cube root of (52 / ((4/3) * 3.14))
Using a calculator, we can evaluate this expression to find that r ≈ 2.68 inches.
Finally, we can substitute the radius value into the volume formula to find the volume of the sphere:
V = (4/3) * 3.14 * (2.68^3)
Using a calculator, we can evaluate this expression to find that the volume of the sphere is approximately 102.38 in^3.