college algebra
posted by Missy .
A propane tank has the shape of a circular cylinder with a hemisphere at each end. The cylinder is 6 feet long and volume of the tank is 5pie cubic feet. Find, to the nearest thousandth of a foot the length of the radius x.

with radius x,
v = (pi * x^2 * h) + (4/3 * pi * x^3)
5pi = (pi*x^2*6) + (4/3 pi * x^3)
4/3 x^3 + 6x^2  5 = 0
4x^3 + 18x^2  15 = 0
x = 0.838
Respond to this Question
Similar Questions

geometry
A grain storage tank is in the shape of a cylinder covered by half a sphere. The height of the cylinder is 50 feet and its diameter is 80 feet. find the total surface area (including the base) and volume of the tank. 
geometry
A propane tank is in the form of a cylinder with two halfspheres, one on each end. The radius of the cylinder is the same as the radius of each halfsphere. What is the volume of a propane tank of cylindrical length 12 ft and radius … 
algebra
You are standing 14 feet from the edge of a cylindrical water tank and 26 feet from a point of tangency. The tank is 10 feet tall. What is the volume of the tank in cubic feet? 
Calculus
A steel storage tank for propane gas is to be constructed in the shape of a right circular cylinder with a hempishere at each end. The cost per square foot of constructing the end pieces is twice that of contructing the cylindrical … 
Math
An oil tank is the shape of an inverted right circular cone with the pointed end down. The tank is 15 feet tall and is 12 feet in diameter at the top. At 1:00pm, the tank has oil 5 feet deep in it. Oil is pouring in at 5 cubic feet … 
Calc
A cylindrical slime tank is placed so that the axis of the cylinder is horizontal. Find the fluid force on a circular end of the tank if the tank is half full, assuming that the diameter is 6 feet and the slime weighs 54 pounds per … 
MATH WORD PROBLEM HELP PLEASE
A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320pi cubic feet. What is the diameter, in feet, of the water tank? 
Calculus
Water is draining from a small cylindrical tank into a larger one below it. The small cylindrical tank has a radius of 4 feet and a height of 6 feet; the large cylindrical tank has a radius of 8 feet and a height of 16 feet. The small … 
CALCULUS
Water is draining from a small cylindrical tank into a larger one below it. The small cylindrical tank has a radius of 4 feet and a height of 6 feet; the large cylindrical tank has a radius of 8 feet and a height of 16 feet. The small … 
Geometry
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 …