Question

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)

Answer 1

First we need to calculate the volume of the cylinder

`V=\pi r^2h`

where

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

h=6 feet

we substitute the values

`V=\pi(2)^2(6)=\pi4(6)=24\pi=75.4ft^3`

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

`x=75.4\cdot7.48=564\text{ gallons}`

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