A restaurant stores flour, rice, and sugar in three different cylindrical containers. An image displaying three cylinders each with sugar, rice and flour. The measure of the sugar cylinder reada: radius equals 2.5 inches, height equals 8 inches and find the volume in cubic inches. The measure of the rice cylinder reads: radius equals 2.5 inches, volume equals 235.5 cubic inches, find the height in inches. The measure of the flour cylinder reads: area of the base equals 12.56 square inches, height equals 4 inches and what is the volume in cubic inches? Use the information to answer the questions. Use 3.14 for . Part A What is the approximate volume of the sugar container? Show your work. Space used (includes formatting): 0 / 15000 Part B What is the approximate height of the rice container? Show your work. Space used (includes formatting): 0 / 15000 Part C Compare the heights of the sugar container and the rice container. Next, compare their volumes. The volume of the rice container is how many times greater than the volume of the sugar container? Explain your answer. Space used (includes formatting): 0 / 15000 Part D In the formula , B is the area of the base. Use this formula to calculate the volume of the flour container. Space used (includes formatting): 0 / 15000 Part E Compare the volumes of the containers. Which container has the greatest volume? Which has the smallest volume?

Part A: The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height of the cylinder.

For the sugar container, the radius is given as 2.5 inches and the height is given as 8 inches. Plugging these values into the formula, we have V = π(2.5^2)(8).

Calculating the volume, we get V ≈ 157 cubic inches. Therefore, the approximate volume of the sugar container is 157 cubic inches.

Part B: To find the height of the rice container, we can rearrange the formula for volume to solve for h. The formula becomes h = V / (πr^2).

For the rice container, the radius is given as 2.5 inches and the volume is given as 235.5 cubic inches. Plugging these values into the formula, we have h = 235.5 / (π(2.5^2)).

Calculating the height, we get h ≈ 7.5 inches. Therefore, the approximate height of the rice container is 7.5 inches.

Part C: To compare the heights of the sugar and rice containers, we see that the sugar container has a height of 8 inches, while the rice container has a height of 7.5 inches.

Comparing their volumes, we find that the volume of the rice container is 235.5 cubic inches, and the volume of the sugar container is 157 cubic inches.

To determine how many times greater the volume of the rice container is compared to the volume of the sugar container, we divide the volume of the rice container by the volume of the sugar container: 235.5 / 157 ≈ 1.5.

Therefore, the volume of the rice container is approximately 1.5 times greater than the volume of the sugar container.

Part D: The formula for calculating the volume of a cylinder is V = Bh, where B is the area of the base and h is the height.

For the flour container, the area of the base is given as 12.56 square inches, and the height is given as 4 inches. Plugging these values into the formula, we have V = (12.56)(4).

Calculating the volume, we get V = 50.24 cubic inches. Therefore, the volume of the flour container is 50.24 cubic inches.

Part E: Comparing the volumes of the containers, we find that the sugar container has a volume of 157 cubic inches, the rice container has a volume of 235.5 cubic inches, and the flour container has a volume of 50.24 cubic inches.

Therefore, the rice container has the greatest volume, while the flour container has the smallest volume.