22. Find the radius of a sphere with a volume of 33.5m ^ 3 Use m - 3 and round your answer to the nearest whole. Formula: V = 4/3 * pi * r ^ 3
0.2 m
P. 8 m
Q. 14 m
To find the radius of a sphere with a given volume, we need to rearrange the formula:
V = (4/3) * pi * r^3
We can divide both sides of the equation by (4/3) * pi to isolate r^3:
r^3 = V / ((4/3) * pi)
Now we can take the cube root of both sides to solve for r:
r = (V / ((4/3) * pi))^(1/3)
Substituting V = 33.5 m^3:
r = (33.5 / ((4/3) * pi))^(1/3)
Using the value of pi rounded to 3.14:
r = (33.5 / ((4/3) * 3.14))^(1/3)
Simplifying:
r = (33.5 / (4.186667))^(1/3)
r ≈ 2.025^(1/3)
Using a calculator:
r ≈ 1.272
Rounded to the nearest whole number, the radius of the sphere is approximately 1 m.
Can you do a simple version
Certainly!
The formula for the volume of a sphere is V = (4/3) * π * r^3.
Given a volume of 33.5 m^3, we can substitute this into the formula:
33.5 = (4/3) * π * r^3
To find the radius (r), we need to isolate it. To do so, we can divide both sides of the equation by (4/3) * π:
r^3 = (33.5) / ((4/3) * π)
Simplifying further:
r^3 = (33.5) / (4/3 * 3.14)
r^3 = (33.5) / (4.186667)
Now, we can take the cube root of both sides to solve for r:
r = (33.5 / (4.186667))^(1/3)
Using a calculator:
r ≈ 2.025^(1/3)
r ≈ 1.272
Therefore, rounded to the nearest whole number, the radius of the sphere is 1 m.