A3-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 inchesb. 3 inchesc. 6 inchesd. 12 inches

c) 6 inches

Step-by-step explanation:

Water the container holds = 3 gallon

h = Height of water = 1.5 ft = 1.5×12 = 18 inches

Inches per gallon of water in the container =

Decrease in height of water as a result of taking 2 gallons out = 2×6 = 12 inches

Final height of water in tank = 18-12 = 6 inches

∴ Water in the container after Nate filled the jug is 6 inches

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it