Three tennis balls are packaged in a box as shown below. The box is 12.1 centimeters long, 3.5 centimeters wide, and 3.5 centimeters tall. Each ball is 3.3 centimeters in diameter. What is the volume of the empty space in the box?

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Answer 1 · 2018-05-13T08:28:13

#91.8 cm^3#

Volume of the box is #12.1 xx 3.5 xx 3.5=148.225 cm^3#

Each ball is #4/3 xx pi xx 1.65^3=18.8165692 cm^3#

There are three balls #=> 56.4497076 cm^3#

Subtract

#=> 148.225-56.4497076=91.7752924 cm^3#

Answer 2 · 2018-05-13T08:45:24

#V_"empty space"=91.775# #cm^3#

#V_"box"=l*w*h=12.1*3.5*3.5= 148.225# #cm^3#

#V_"each ball"=4/3pir^3=4/3pi(3.3/2)^3=4/3pi(35.937/8)# #cm^3#

#V_"3 balls"=(35.937/2)pi~~56.450# #cm^3#

#V_"empty space"=148.225-56.450=91.775# #cm^3#