A stone cube measures 20 cm on each side. A cylinder with a diameter of 12 cm is drilled through it.

Mathematics
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A stone cube measures 20 cm on each side. A cylinder with a diameter of 12 cm is drilled through it. What is the remaining volume in liters? Use 3.14 for π, and round to the nearest hundredth of a liter

May 2nd, 2015

In our case h of cylinder = length of the cube side a. 

R of cylinder =12/2=6

Volume of cylinder = pi*R^2*h = 3.14*6^2*20 = 2260.8cm^3

Volume of cube = a^3 = 20^3 = 8000cm^3

The remaining volume = 8000 - 2260.8 = 5739.2cm^3

1cm^3 = 0.001liter, so 5739.2cm^3 = 5.74 liters

Answer: 5.74 liters

May 2nd, 2015

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