Posted by Mike on .
3) Find the capacity in gallons of a drum that is cone-shaped if the radius is 9 feet, and the slant height is 41 feet. (first find the volume)
Volume in cubic feet = cubic feet
Capacity in gallons = gallons (Round answer to the nearest gallon) (Use 1 cu ft = 7.48 gallons)
The height of the cone can be obtained from the Pythagorean relationship:
h^2 = 41^2 - 9^2 = 1600
h = 40 ft
Volume = (1/3) pi r^2 h = 3393 ft^3 = 25,379 gallons
you did 40 ft not 41 i got 3475 ft^3 but i don't know how you found gallons
40 ft is the true cone height from bottom to top. The slant height is measured along the slope.
I converted to gallons using the conversion factor that was provided by you.
(Use 1 cu ft = 7.48 gallons)