Asked by Please Help
Tennis balls withal diameter of 2.5 in. Are sold in cans of three. The can is a cylinder. What is the volume of the space in the can not occupied by tennis balls? Assume the balls touch the on the sides,top and bottom.
Answers
Answered by
MathMate
Height of cylinder, h
= 3 times the diameter of tennis balls
= 3*2.5"
= 7.5"
Diameter of cylinder, d
= diameter of tennis ball
= 2.5"
Volume of cylinder
= πd²h/4
Volume of each tennis ball, v
= 4π(d/2)³/3
Volume of three tennis balls
= 3v
= 4π(d/2)³
Interstitial space
= Volume of cylinder - volume of three balls.
= 3 times the diameter of tennis balls
= 3*2.5"
= 7.5"
Diameter of cylinder, d
= diameter of tennis ball
= 2.5"
Volume of cylinder
= πd²h/4
Volume of each tennis ball, v
= 4π(d/2)³/3
Volume of three tennis balls
= 3v
= 4π(d/2)³
Interstitial space
= Volume of cylinder - volume of three balls.
Answered by
Anonymous
approximately 12.27 in^3
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