Question

# The diameter of a cylinder is 7 yards. The height is 12 yards. What is the volume in terms of π and to the nearest cubic yard of the cylinder?

Hint:

### We simply use the formula for volume of a cylinder to solve the problem. Note that we have to show the result in terms of .

## The correct answer is: The required volume of the cylinder is 257.25π cubic yards.

### Explanations:

Step 1 of 1:

The diameter of a cylinder is given by 7 yards.

So, the base radius, r = 7/2 yards

The height is given by h = 12 yards.

Volume of the cylinder =

cubic yards

Final Answer:

The required volume of the cylinder is 257.25 cubic yards.

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Carrie, a packaging engineer, is designing a container to hold 12 drinking glasses shaped as regular octagonal prisms. Her initial sketch of the top view of the base of the container is shown above.

Carrie redesigned the container because the initial sketch did not account for cushioning material between the glasses. The area of the base of the newly designed container is greater than the area of the base in the initial sketch. What is the area, in square inches, of the base of the newly designed container?

**Note:**

There is a shorter way of doing this problem. There is a simple rule followed while increasing or decreasing a value by a certain percentage. When we decrease a quantity by x%, we multiply the quantity by (1-0.x). Whereas when we increase a quantity by x%, we multiply it with (1+0.x).

Carrie, a packaging engineer, is designing a container to hold 12 drinking glasses shaped as regular octagonal prisms. Her initial sketch of the top view of the base of the container is shown above.

Carrie redesigned the container because the initial sketch did not account for cushioning material between the glasses. The area of the base of the newly designed container is greater than the area of the base in the initial sketch. What is the area, in square inches, of the base of the newly designed container?

**Note:**

There is a shorter way of doing this problem. There is a simple rule followed while increasing or decreasing a value by a certain percentage. When we decrease a quantity by x%, we multiply the quantity by (1-0.x). Whereas when we increase a quantity by x%, we multiply it with (1+0.x).