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There are approximately 7.48 liquid gallons in a cubic foot. If a cylindrical water tank holds 1,200 liquid gallons and has a radius of 2.4 feet, what is the approximate height of the water tank? Approximate using π = 3.14 and round to the nearest tenth.

(A) 2.2 feet
(B)8.9 feet
(C)27.9 feet
(D) 124.1 feet

2 Answers

5 votes

Answer:

its B, 8.9, trust me, I got it right on the test

Explanation:

User Jarmal
by
8.2k points
1 vote

Answer: B

Explanation:

The volume of the cylindrical water tank can be calculated as:

Volume = π x radius^2 x height

We know that the tank holds 1,200 liquid gallons, which is equivalent to:

1,200 / 7.48 = 160.43 cubic feet

We also know that the radius of the tank is 2.4 feet. Substituting these values into the formula, we get:

160.43 = 3.14 x 2.4^2 x height

Solving for height, we get:

height = 160.43 / (3.14 x 2.4^2) = 8.9 feet (approx.)

Therefore, the approximate height of the water tank is 8.9 feet (b).

User Mckelvin
by
7.4k points

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