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

Question

Mathematics

Beckett Johnson

2 April, 17:54

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

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Answers (1)

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Nikolai Skinner · Answer 1

Given:

3-gallon cylindrical water container

height = 1.5 feet

radius = 3.5 inches

1.5 ft * 12inches/ft = 18 inches

Volume = 3.14 * 3.5² * 18

V = 692.37 cubic inches

692.37 in³ / 3 gallons = 230.79 in³ per gallon

230.79 in³ = 3.14 * 3.5² * h

h = 230.79 in³ / (3.14 * 3.5²)

h = 230.79 in³ / 38.465 in²

h = 6 inches

Answer is C. 6 inches.