Aidan is comparing two different cylindrical storage containers. EZ-Store's container has a height of 26 inches and a diameter of 14 inches. U-Can-Store-It's container has a height of 20 inches and a diameter of 16 inches.
Use the drop-down menu to select the words that make the statements correct. Use 3.14 to approximate π in any calculations.
The container made by
has a larger storage capacity. It can store about
more cubic inches of material than the other company's container.
The container made by U-Can-Store-It; 576
How much is EZ-Store's
The container made by EZ-Store has a larger storage capacity. It can store about [Select "600" from the dropdown menu] more cubic inches of material than the other company's container.
Explanation:
To determine the storage capacity of a cylindrical container, we need to calculate its volume. The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
For the EZ-Store container:
Height = 26 inches
Diameter = 14 inches
To find the radius, we divide the diameter by 2: r = 14 / 2 = 7 inches
Now, let's calculate the volume:
V = π(7)^2(26)
V ≈ 3.14(49)(26)
V ≈ 40016.72 cubic inches
For the U-Can-Store-It container:
Height = 20 inches
Diameter = 16 inches
Again, let's find the radius: r = 16 / 2 = 8 inches
Now, calculate the volume:
V = π(8)^2(20)
V ≈ 3.14(64)(20)
V ≈ 4019.2 cubic inches
Finally, we can compare the two volumes to determine the difference:
Difference = Volume of EZ-Store - Volume of U-Can-Store-It
Difference ≈ 40016.72 - 4019.2
Difference ≈ 36010.52 cubic inches
Therefore, the EZ-Store container can store about 36010.52 more cubic inches of material than the U-Can-Store-It container.