why is the radius of this sphere 2 m

Question

use n=3.14 to round answer to the nearest whole
volume = 33.5 m^3
explain how i found the radius
V = 4/3 nr^3

Answer 1

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

V = 4/3 * π * r^3

Given that the volume is 33.5 m^3, and using the approximation for π as 3.14, we can substitute these values into the formula:

33.5 = 4/3 * 3.14 * r^3

Now, solve for r:

33.5 = 4.1867 * r^3
33.5 / 4.1867 = r^3
r^3 = 8

Taking the cube root of both sides, we get:

r ≈ 2 m

Therefore, the radius of this sphere is approximately 2 m.