SOLUTION: a can has 3tennis balls, the can is just large enough sothat he tenis balls will fit inside with the lid on. the diameter of each tennis ball is 2.5 inches. what is te volume of th

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: a can has 3tennis balls, the can is just large enough sothat he tenis balls will fit inside with the lid on. the diameter of each tennis ball is 2.5 inches. what is te volume of th      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 606474: a can has 3tennis balls, the can is just large enough sothat he tenis balls will fit inside with the lid on. the diameter of each tennis ball is 2.5 inches. what is te volume of the empty space inside the can?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Volume of cylinder - volume of three balls = volume of empty space.
Cylinder = pi*r^2*h
The height of cylinder = 3 times the diameter of the ball.
The radius of cylinder = radius of ball
= 3.14 * 1.25^2*7.5 =36.8 cu.in

Volume of 1 ball = 4/ 3 * pi* *r^3
=4/3 * pi* 1.25^3
=8.18 cu.in
3 balls volume = 8.18 *3
= 24.54 cu.in
empty space = 36.8 - 8.18= 27.68 cu.in