SOLUTION: https://media.discordapp.net/attachments/742028999940767776/844256150996254740/unknown.png

Algebra ->  Bodies-in-space -> SOLUTION: https://media.discordapp.net/attachments/742028999940767776/844256150996254740/unknown.png      Log On


   

Question 1180594: https://media.discordapp.net/attachments/742028999940767776/844256150996254740/unknown.png
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

The key idea of the solution is the fact that increase of the occupied volume is equal to the volume of the ball. 


Keeping it in mind, we write this equation


    pi%2AR%5E2%2A%281%2F3%29 = %284%2F3%29%2Api%2Ar%5E3,


where R is the unknown radius of the cylinder and r is the given radius of the ball.


From this equation


    R%5E2 = 4r%5E3 = 4%2A4%5E3 = 4%5E4;


hence,   R = sqrt%284%5E4%29 = 4%5E2 = 16 inches.    ANSWER

Solved.

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