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28 November, 01:47

A cylindrical gasoline tank is 50 ft high and has diameter 70 ft. How many gallons of gasoline will the tank hold if there are 7.5 gallons in 1 ft3?

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  1. 28 November, 05:26
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    Let's start with what we know.

    Height (h) = 50ft

    Diameter (d) = 70ft

    1ft³ = 7.5 gallons

    To answer this, we first need to know the equation used to calculate the volume of a cylinder:

    V = πr²h

    Looking at that equation, you might notice it requires the radius (r) while we only have the diameter. Fortunately, the radius is simply one-half of the diameter so:

    d/2 = r

    70ft/2 = r

    r = 35ft

    Now that we know r, we can calculate the volume of the tank:

    V = πr²h

    V = π x (35) ² x (50)

    V = π x 1225 x 50

    V = π x 61250

    V ≈ 192422.6 ft³ when you round to the nearest tenth

    So now we know this tank's volume is 192,422.6ft³

    Since 1ft³ = 7.5 gallons, we can multiply 7.5 by the volume to see how much gas it can hold.

    7.5 x 192422.6 = 1,443,165 gallons of gasoline
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