Mary has a container of sugar in the shape of a cylinder the container has a diameter of 10 inches and a height of 6 inches if the container is full how much will the sugar weigh if the average weight of the sugar is 0.2 ounces per cubic inch round to the nearest tenth

pi * 25 * 6 in^3 * .2oz/in^3 = 94.2 oz

To find the weight of the sugar in the container, we need to calculate the volume of the cylinder and then multiply it by the average weight per cubic inch.

Step 1: Calculate the volume of the cylinder.
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Given:
Diameter (d) = 10 inches
Radius (r) = d/2 = 10/2 = 5 inches
Height (h) = 6 inches

Plugging in the values:
V = π(5)^2(6)
V ≈ 471.23 cubic inches (rounded to two decimal places)

Step 2: Multiply the volume by the average weight per cubic inch.
Average weight per cubic inch = 0.2 ounces

Weight of the sugar = V * average weight per cubic inch
Weight ≈ 471.23 * 0.2
Weight ≈ 94.25 ounces (rounded to two decimal places)

Therefore, the sugar in the container will weigh approximately 94.3 ounces.

To find the weight of the sugar in the cylinder, we need to calculate its volume first.

Step 1: Calculate the radius of the cylinder.
The diameter of the cylinder is given as 10 inches. Since the diameter is twice the radius, the radius is equal to 10 inches divided by 2, which is 5 inches.

Step 2: Calculate the volume of the cylinder.
The volume of a cylinder can be calculated using the formula:
Volume = π * radius^2 * height

In this case, the radius is 5 inches and the height is 6 inches. Substituting these values into the formula:
Volume = π * 5^2 * 6

Using the approximation π ≈ 3.14:
Volume ≈ 3.14 * 5^2 * 6
≈ 3.14 * 25 * 6
≈ 471 cubic inches

Step 3: Calculate the weight of the sugar.
The average weight of the sugar is given as 0.2 ounces per cubic inch. Therefore, to find the weight of the sugar in the cylinder, we multiply the volume by the weight per cubic inch:
Weight = Volume * Weight per cubic inch
= 471 * 0.2

Using a calculator:
Weight ≈ 94.2 ounces

Rounded to the nearest tenth:
Weight ≈ 94.2 ounces (rounded to the nearest tenth)

Therefore, the weight of the sugar in the container, when full, would be approximately 94.2 ounces (rounded to the nearest tenth).