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A statement in an advertisement gives the capacity of a fuel storage tank as 560 gallons. If thecylindrical tank is 6 feet long and 4 feet in diameter, (a) is the actual capacity more or less thanthat given in the ad, and (b) by how much? (1 cubic foot holds 7.48 gallons)

Respuesta :

First we need to calculate the volume of the cylinder

[tex]V=\pi r^2h[/tex]

where

r=diameter/2=4/2=2 feet

h=6 feet

we substitute the values

[tex]V=\pi(2)^2(6)=\pi4(6)=24\pi=75.4ft^3[/tex]

then we have the next equivalence

1 cubic foot = 7.48 gallon

75.4 cubic feet= x

x is the number of gallon s for 75.5 cubic feet

[tex]x=75.4\cdot7.48=564\text{ gallons}[/tex]

a) It is almost the capacity of a fuel storage tank in the advertisement

b) the capacity of the advertisement is lower by 4 gallons than the cylindrical tank given

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