A water delivery truck with a cylindrical tank measuring 8 ft in diameter and long dispenses water to drought victims in cartons measuring 6 in. × 6 in. × 12 in. How many victims will get a full container of water?

tank volume V = pi (d^2/4) L ft^3

where L is the length in feet which you forgot to type.
volume of carton in ft^3 = v = (1/2)(1/2)(1)
= 1/4 ft^3
so
V/v = pi d^2 L cartons

To determine the number of victims who will get a full container of water, we need to compare the volume of the truck's cylindrical tank to the volume of the cartons.

First, let's calculate the volume of the cylindrical tank:

The formula for calculating the volume of a cylinder is given by V = πr^2h, where V is the volume, r is the radius, and h is the height.

Given that the diameter is 8 ft, the radius (r) can be calculated as half of the diameter, which is 8 ft / 2 = 4 ft.

The height (h) is not provided, so we need to first convert the measurements to the same unit. Since the radius is in feet, we'll convert the carton measurements to feet as well.

The carton measures 6 in x 6 in x 12 in.

There are 12 inches in 1 foot, so converting to feet, we have:

6 in = 6/12 ft = 0.5 ft (approx)
12 in = 12/12 ft = 1 ft

Now, let's calculate the volume of the carton:

The volume of the carton can be calculated using the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

Therefore, the volume of the carton is V = 0.5 ft x 0.5 ft x 1 ft = 0.25 ft^3.

Now, let's calculate the volume of the cylindrical tank:

V = πr^2h

V = π x (4 ft)^2 x h

We can see that the height (h) is missing, so we need additional information in order to determine the exact number of victims who will get a full container of water.