How do you find the radius of a sphere with a volume of 33.5

1 answer

To find the radius of a sphere with a given volume, you can use the formula for the volume of a sphere:

V = (4/3) * π * r^3

where V is the volume and r is the radius.

In this case, the volume V is 33.5. Rearranging the formula, we get:

r^3 = (3/4π) * V

Now substitute the values:

r^3 = (3/4π) * 33.5

Simplify the right side of the equation:

r^3 = (3/4) * 3.14 * 33.5

r^3 = 100.05

Now, take the cube root of both sides to solve for r:

r ≈ ∛100.05

r ≈ 4.726

Therefore, the radius of the sphere with a volume of 33.5 is approximately 4.726.