Question

Graceland Farm has two cylindrical water tanks, one for cold and a second for hot water. The hot water tank has a diameter of 8 feet and can hold 503 cubic feet of water. If the cold water tank is shorter than the hot water tank, than how tall can the cold water tank be? Is there more than one solution?

Answer 1

h < 10 or (0, 10)

The problem has multiple solutions

Explanation:

In this case we can calculate the height of the hot water tank because we know the diameter and volume. The formula is:

V = pi * (r ^ 2) * h

we solve for h:

h = V / (pi * r ^ 2)

the radius is half the diameter, that is, r = d / 2; r = 8/2 = 4

replacing:

h = 503 / (3.1413 * 4 ^ 2)

h = 10

the problem has multiple solutions since they say that it is shorter, shorter is a number less than 10.

solution: h <10 or (0, 10)