Question

MEDAL AND FAN!!
A 3-gallon cylindrical water container has a height of 1.5 feet and a radius of 3.5 inches. Nate fills up a 2-gallon jug from the container before going on a hike. If the container was full before Nate filled the jug, what is the height of the water in the container after Nate filled the jug?

A. 0.5 inches
B. 3 inches
C. 6 inches
D. 12 inches

Answer 1

You know I started out doing this by calculating the volume of the container (692 cu in), and then I was going to figure out how many cubic inches of water were in a gallon. But then I looked at it again.

When the water goes out of the tank, the radius stays the same. Only the height changes.

If there's 1.5 ft of water in a 3 gal tank, each gal is 1.5 ft / 3 gal = 0.5 ft per gallon.

Nate draws out two gallons, leaving one left. The height of the water in the jug is now 0.5 ft.

Answer 2

you are wrong! i tried that b4 it was wrong! @OfficialBluemonster

Answer 3

\(\Delta V = V_f - V_i\)

Answer 4

18" height and 3.5 inch radius
Tank's volume would be
PI * r * r * height =
PI * 3.5 * 3.5 * 18 =
692.72 cubic inches.
a US gallon equals 231 cubic inches https://en.wikipedia.org/wiki/Gallon
Since 692.72 / 231 equals 2.99879 (practically 3) then we can say the tank is 100% full and the height would be 18 inches.
I think you can solve the rest.