A tank on a road roller is filled with water to make the roller heavy. The tank is a cylinder that has a height of 6 feet and a radius of 2 feet. One cubic foot of water weighs 62.5 pounds. Find the weight of the water in the tank.
idk
To find the weight of the water in the tank, we need to calculate the volume of the water first and then multiply it by the weight of one cubic foot of water.
Step 1: Calculate the volume of the water in the tank.
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height. In this case, r = 2 feet and h = 6 feet. Plugging in these values, we have V = π(2^2)(6) = π(4)(6) = 24π cubic feet.
Step 2: Multiply the volume by the weight of water per cubic foot.
The weight of one cubic foot of water is given as 62.5 pounds.
Weight of water = (Volume of water) x (Weight of one cubic foot of water)
Weight of water = 24π x 62.5 pounds.
To get the numerical value, we can approximate π as 3.14.
Weight of water ≈ 24 x 3.14 x 62.5 pounds
Weight of water ≈ 4710 pounds
Therefore, the weight of the water in the tank is approximately 4710 pounds.
Volume of cylinder = πr^2h = π(2^2)(6) = ...
multiply that by 2.5 to get the weight in pounds