Question

There are approximately 7.48 liquid gallons in a cubic foot. If a cylindrical water tank holds 1,400 liquid gallons and has a radius of 2.8 feet, what is the approximate height of the water tank? Approximate using π = 3.14 and round to the nearest tenth.

7.6 feet
10.6 feet
21.3 feet
56.9 feet

Answer 1

7.6 feet

Explanation:

To solve this problem, we can use the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius and h is the height. We are given that the tank holds 1,400 liquid gallons, which is equivalent to 1,400/7.48 = 187.166 cubic feet. We are also given that the radius is 2.8 feet..

Substituting these values into the formula, we get:

187.166 = 3.14 x (2.8)^2 x h

Simplifying and solving for h, we get:

h = 187.166 / (3.14 x 2.8^2)

h = 7.6 feet

Answer 2

The volume of the cylindrical water tank is given by:

V = πr^2h

where r is the radius and h is the height.

We know that the tank holds 1,400 liquid gallons, which is equivalent to:

V = 1,400 gal / 7.48 gal/ft^3 = 187.1667 ft^3

Substituting the given radius of 2.8 feet and using π = 3.14, we get:

187.1667 = 3.14(2.8)^2h

Solving for h, we get:

h = 21.34 feet

Rounding to the nearest tenth, the height of the water tank is approximately 21.3 feet.

Therefore, the answer is C) 21.3 feet.