A gasoline truck is a cylindrical tank(think "sideways" cylinder) that is 20 feet long and 6 feet in diameter. At the end of his work day, the driver measures the depth of gasoline in the tank at 18 inches. How many gallons of gas are in the tank?

1 answer

the radius of the tank is 36" (3 ft)

looking a the tank in cross section

the width of the gasoline surface is the base of an isosceles triangle

the height is ... 36 - 18

the sides are ... 36

use the vertex angle to find the area of the sector of the circle

then find the area of the segment representing the gasoline

area times length of tank is the volume of gasoline

convert to gallons