In the cylinder volume problem, what is the diameter of the tank?

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Multiple Choice

In the cylinder volume problem, what is the diameter of the tank?

Explanation:
The volume of a cylinder comes from its base area times height, so V = π r^2 h, and the diameter is twice the radius, d = 2r. To get the diameter from V and h, you solve for the radius: r = sqrt(V/(π h)), and then d = 2 sqrt(V/(π h)). In this problem, the numbers work out so that the radius is 3.5 ft, giving a diameter of 7 ft. That means V = π (3.5)^2 h = 12.25 π h matches the given volume and height. The other possible diameters would require different radii (2.5 ft, 3.0 ft, 4.5 ft), which wouldn’t align with the given V and h.

The volume of a cylinder comes from its base area times height, so V = π r^2 h, and the diameter is twice the radius, d = 2r. To get the diameter from V and h, you solve for the radius: r = sqrt(V/(π h)), and then d = 2 sqrt(V/(π h)).

In this problem, the numbers work out so that the radius is 3.5 ft, giving a diameter of 7 ft. That means V = π (3.5)^2 h = 12.25 π h matches the given volume and height. The other possible diameters would require different radii (2.5 ft, 3.0 ft, 4.5 ft), which wouldn’t align with the given V and h.

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