22. Find the radius of a sphere with a
volume of 33.5 m3
. Use =3.14 and
round your answer to the nearest whole.
Formula: V=
4
3
r
3
O. 2 m
P. 8 m
Q. 14 m
The formula for the volume of a sphere is given as:
V = (4/3)πr^3
We are given that the volume is 33.5 m^3, so we can set up the equation:
33.5 = (4/3)(3.14)(r^3)
Dividing both sides by (4/3)(3.14), we get:
r^3 = (33.5 / ((4/3)(3.14)))
Simplifying further:
r^3 = (33.5 / (4/3)) * (1/3.14)
r^3 = 25.1908
Taking the cube root of both sides:
r = 3.14^(1/3)
Using a calculator, we find:
r ≈ 3.021
Rounding to the nearest whole number, the radius of the sphere is 3.
Therefore, the correct answer is:
O. 2 m