SOLUTION: 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 nu

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): You can put this solution on YOUR website!

The radius, , of a sphere is related to its volume , by the formula

if a volume is

Answer by ikleyn(52863)   (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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