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A company is choosing between two tanks for mixing chemicals. Both tanks have the same price so the company plans to choose the one that can hold the most chemicals the first tank is conical with a diameter of 10 feet and a height of 15 feet the second tank is a hemisphere with a radius of 5.5 feet which tank should they choose? How many more gallons to the nearest gallon will that tank hold?

Respuesta :

apologiabiology
first is cone
2nd is half circle aka hemisphere

V of cone=(1/3)hpir^2
V of hemisphere=(1/2)(4/3)pir^3=(2/3)pir^3


first, cone
d/2=r
10/2=5=r
h=15
cone=(1/3)(15)pi5^2
cone=5pi25
cone=125pi

hemisphere=(2/3)pir^3
r=5.5
V=(2/3)pi5.5^3
V=(2/3)pi166.375
V=110.9166666666pi

which is bigger

125pi or 110.9166666666pi
125 pi is bigger aka the conical container

how much bigger
125pi-110.9166666666666pi=14.083333333333pi
aprox pi=3.14
difference is 44.221666666
round
44 gallons


pick the first one (concal)
holds aprox 44 more gallons

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