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A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a larger cone. The small cone has a base radius of 3 i…
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A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a larger cone. The small cone has a base radius of 3 i…
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Apr 18, 2018
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A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a larger cone. The small cone has a base radius of 3 inches and a height of 5 inches. The larger cone has a base radius of 5 inches and had a height of 12 inches prior to being cut. What is the volume of the resulting part illustrated in the figure?
Mathematics
high-school
Werva
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Werva
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so then we do
large-small
V=(1/3)hpir^2
given
small=r=3 and h=5
V=(1/3)5pi3^2
V=5pi3
V=15pi
large, r=5, h=12
V=(1/3)5pi12^2
V=5pi48
V=240pi
large-small=240pi-15pi=225pi in^3
aprox 706.8582 in^3
Piotr Jurkiewicz
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Apr 23, 2018
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Piotr Jurkiewicz
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