a rice container has a radius of 2.5 inches and a volume of 235.5 inches cubed. what is the approximate height of the rice container? show your work.

1 answer

To find the height of the rice container, we first need to find the formula for the volume of a cylinder.

The formula for the volume of a cylinder is:

V = πr^2h

Where:
V = volume
π = 3.14159 (approximate)
r = radius
h = height

Given that the volume of the rice container is 235.5 inches cubed and the radius is 2.5 inches, we can plug in the values into the formula and solve for the height:

235.5 = π(2.5)^2h
235.5 = 3.14159 * 6.25 * h
235.5 = 19.634875h
h ≈ 235.5 / 19.634875
h ≈ 12 inches

Therefore, the approximate height of the rice container is 12 inches.