Find the radius of a sphere with a volume of 33.5m^3 using pi and round your answer to the nearest whole. formula: V=4/3pi r^3
Responses
A.2m
B.8m
C.14m
We can rearrange the formula V = (4/3)pi*r^3 to solve for the radius (r).
Given:
V = 33.5m^3
Substitute the given volume into the formula:
33.5 = (4/3)pi*r^3
Multiply both sides by 3/4 to isolate r^3:
(3/4)*33.5 = pi*r^3
Divide both sides by pi and then multiply by 4/3 to solve for r^3:
r^3 = (4/3)*(3/4)*33.5
r^3 = 33.5
r ≈ 3.45
To round the answer to the nearest whole number, the radius is approximately 3 meters.
Therefore, the correct answer is:
A. 2m