Question

A trashcan in the shape of a cylinder has a diameter of 2 feet and a height of 3 feet. Approximately, how much would the trashcan weigh if it were completely filled with water? (Density of water is about 62 pounds per cubic foot.)

A) 186 pounds
B) 188 pounds
C) 190 pounds
D) 192 pounds

Answer 1

The approximate weight of the trashcan when completely filled with water is 186 pounds.

Step-by-step explanation:

To find the weight of the trashcan when filled with water, we need to calculate the volume of the trashcan and then multiply it by the density of water. The trashcan is in the shape of a cylinder, so we can use the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the height of the cylinder.

The diameter of the trashcan is 2 feet, so the radius is 1 foot. The height is 3 feet. Plugging these values into the volume formula, we get: V = π(1^2)(3) = 3π ft³.

Now, we multiply the volume by the density of water, which is 62 pounds per cubic foot: Weight = V * Density = 3π * 62 ≈ 186 pounds.

Therefore, the approximate weight of the trashcan when completely filled with water is 186 pounds.