In the 2012 Summer Olympic Games the United States won a total of 104 medals. This accounted for 10.811% of all medals won during the games. What was the total number of medals awarded during the 2012 Summer Olympic Games?

962 medals

Step-by-step explanation:

Let

x --->  the total number of medals awarded during the 2012 Summer Olympic Game

we know that

104 medals represent 10.811%

so

using proportion

Find out the number of medals that correspond a percentage of 100%

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734