Question 1155248: The radius, r, of a sphere is related to its volume V , by the formula r = [3V/4pie]^1/3
Calculate the radius of a basketball with a volume of 7238cm^3 , to the nearest whole number.
Found 3 solutions by greenestamps, MathLover1, ikleyn:
Answer by greenestamps(13203)   (Show Source):
You can put this solution on YOUR website!
The problem tells you what to do; do it.
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Note that there is a lesson to be learned from the wrong answer from tutor @MathLover1, compared to the right answer from tutor @ikleyn.
Given V=7238, the expression to be evaluated, as you show it, is (3*7238/4pi)^(1/3).
Curiously, the software on this website interprets that as  , which produces the right number.
However, most calculators, including the popular TI-83, interprets this as 
That is the standard interpretation according to standard rules of order of operations, because the operations in the expression "3*7238/4pi" are, in order, multiply, divide, multiply. Since all those operations have the same level of priority, they are done in that order; that of course produces the wrong answer.
In order to get the "3*7238" divided by "4pi", the "4pi" needs to be in parentheses: "3*7238/(4pi)".
So on most calculators, "(3*7238/4pi)^(1/3)" will give the wrong answer; "(3*7238/(4pi))^(1/3)" will give the right answer.
Answer by MathLover1(20850)  (Show Source):
Answer by ikleyn(52858)  (Show Source):
You can put this solution on YOUR website! .
I agree with the tutor @greenestamps: if the formula is just given, and if all input data is given,
it is the SIMPLE task for the student to make calculations and to get an answer --- there is NOTHING to do for tutors
in this situation. But since @MathLover1 produced wrong answer, I came to fix it.
r =  = 12.00 centimeters. ANSWER
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