Drill Core
Find the volume of material removed when a sphere of radius 4 is core drilled with a 1 inch diameter drill.?
Find the volume of material removed when a sphere of radius 4 is core drilled with a 1 inch diameter drill.
R of sphere=4,r of drill=0.5"
What you remove consists of 2 caps and one cylinder,
each cap has a dimeter of 1" & height of
4-(4^2-0.5^2)^1/2=0.031373"
Vol of 1 cap =
=[pie x (0.031373)^2 x (3 x 4 -0.031373)] /3 =
=0.0123363 inch^3
Vol of cylider=0.5^2 x pie x 2(3.968627)=
=6.234 inch^3
total material removed=6.234+2(0.0123363)=
=6.258577 inch^3,It might be gold.
God bless you for being patient.
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