SOLUTION: Someone please help. I don't understand how to get the volume in a conical figure. This is a homework question not in the text. A conical water tank has a base with a diameter of

Algebra ->  Volume -> SOLUTION: Someone please help. I don't understand how to get the volume in a conical figure. This is a homework question not in the text. A conical water tank has a base with a diameter of      Log On


   

Question 193927: Someone please help. I don't understand how to get the volume in a conical figure. This is a homework question not in the text.
A conical water tank has a base with a diameter of 6 ft and is 10 ft tall. How many gallons of water will the tank hold? Round your solution to the nearest hundredth. (1 cubic foot holds about 7.480519 gallons)

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a right circular cone is:
V+=+%281%2F3%29Bh where B = the area of the base (pi%2Ar%5E2) and h is the height of the cone.
In this problem, the diameter of the base is 6 ft. so its radius (r) is 3 ft.
The height (h) is given as 10 ft.
V+=+%281%2F3%29%28pi%2Ar%5E2%29%2Ah Make the appropriate substitutions and use pi+=+3.14 as an approximation.
V+=+%281%2F3%29%283.14%29%283%5E2%29%2810%29
V+=+94.2cu.ft. Now multiply this by 7.480519gallons/cu.ft.
Answer: 704.67 gallons (rounded to nearest hundredth)