Find the radius of a sphere with a volume of 33.5 m^3. Use pi=3.14 and round your answer to the nearest whole. Formula: V=4/3pir^3

1 answer

To find the radius of a sphere with a given volume, you can rearrange the formula for the volume of a sphere to solve for the radius.

The formula: V = (4/3) * π * r³

We are given that the volume is 33.5 m³, so we can set up the equation:

33.5 = (4/3) * 3.14 * r³

To isolate the radius (r), we can divide both sides of the equation by ((4/3) * 3.14):

r³ = (33.5) / ((4/3) * 3.14)

r³ = 8.388535031847133

Taking the cube root of both sides, we find:

r = ∛(8.388535031847133)

r ≈ 2.01

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