A water delivery truck with a cylindrical tank measuring 8 ft in diameter and 8 ft 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
volumetank= PIr^2 h= PI(4)^2 * 8
volume carton= 1/2*1/2*1= 1/4 cubic ft
number full= volume tank/volume carton
First calculate the volume of the carton. Then calculate the volume of the tank on the truck. Be careful. The dimensions of the tank on the truck are in feet while the dimensions of the cartons are in inches.
To figure out how many victims will get a full container of water, we first need to calculate the volume of the water tank and the volume of an individual carton of water.
The volume of a cylindrical tank can be calculated using the formula: V = πr^2h, where "V" is the volume, "r" is the radius, and "h" is the height.
Given that the diameter of the tank is 8 ft, the radius (r) can be calculated by dividing the diameter by 2: r = 8 ft / 2 = 4 ft.
The height (h) of the tank is also 8 ft.
Plugging these values into the formula, we get: V = π(4 ft)^2 * 8 ft = 256π ft^3.
Now, let's calculate the volume of an individual carton of water. The volume of a rectangular box can be determined by multiplying the length, width, and height: V = lwh, where "l" is the length, "w" is the width, and "h" is the height.
Given that the dimensions of the carton are 6 in. × 6 in. × 12 in., we convert them to feet by dividing by 12: 6 in. / 12 = 0.5 ft.
Plugging these values into the formula, we get: V = 0.5 ft * 0.5 ft * 1 ft = 0.25 ft^3.
To determine how many victims can be accommodated, we divide the volume of the tank by the volume of an individual carton:
Number of victims = Volume of tank / Volume of carton
= 256π ft^3 / 0.25 ft^3
= (256π * 4) / 1
= 1024π
So, the number of victims who will get a full container of water from the truck is 1024π (approximately 3213)