SOLUTION: a
cylindrical tennis
ball container can
contain maximum
three ball stacked
on one another.the
top and bottom ball
also touch the lid
and the base of the
container
respect
Algebra ->
Volume
-> SOLUTION: a
cylindrical tennis
ball container can
contain maximum
three ball stacked
on one another.the
top and bottom ball
also touch the lid
and the base of the
container
respect
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Question 744763: a
cylindrical tennis
ball container can
contain maximum
three ball stacked
on one another.the
top and bottom ball
also touch the lid
and the base of the
container
respectively if the
volume of a tennis
ball is 240 cm,then
what is the volume
of the container? Found 2 solutions by mananth, MathLover1:Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! V ball = 240
V = 4/3 * pi * r^3
240 = 4/3 * pi * r^3
(240*3)/(4 * pi) = r^3
r^3=57.29
r=3.85 cm radius of the ball
diameter = 7.70cm
Since the balls are touching each other and 3 balls can be place in the cylinder
the height of cylinder = 3 * diameter
=>23.10cm
radius of cylinder = radius of ball
So cylinder volume = pi * r^2*h
r=3.85, h=23.10
substitute to get the answer
1075 cm^3 ( rounded off)
You can put this solution on YOUR website! given:
cylindrical tennis ball container can contain maximum three ball stacked
on one another
the top and bottom ball also touch the lid and the base of the container
respectively - means, the sum of diameters of the three tennis balls is equal to height of the cylindrical container
a tennis ball is a sphere and the volume of a sphere is ; so, if the volume of a tennis ball is ,then
........this is radius and we need diameter:
now we know that the height of the cylindrical container is and we know the radius (which is equal to a radius of the tennis ball) is
