Question

1. TRASH CANS The Meyer family uses a kitchen

trash can shaped like a
cylinder. It has a height of 18
inches and a base diameter of
12 inches. What is the volume
18 in.
of the trash can? Round your
answer to the nearest tenth of
a cubic inch.​

Answer 1

The volume of the Meyer family's kitchen trash can, which is shaped like a cylinder with a height of 18 inches and a base diameter of 12 inches, is approximately 2035.8 cubic inches.

Step-by-step explanation:

To calculate the volume of a cylindrical trash can, we will use the formula for the volume of a cylinder, which is V = πr^2h, where V stands for volume, r is the radius of the base, and h is the height of the cylinder. Since the diameter of the base is given as 12 inches, the radius r will be half of that, which is 6 inches. Now, we can substitute the radius and the height into the formula and calculate the volume:

V = π(6 inches)^2(18 inches)

First, square the radius:

(6 inches)^2 = 36 inches^2

Next, multiply this by π and the height:

V = π × 36 inches^2 × 18 inches

Now perform the multiplication:

V ≈ 3.14159 × 36 × 18 inches^3

V ≈ 648 × 3.14159 inches^3

V ≈ 2035.75 inches^3

Finally, rounding the volume to the nearest tenth, we get:

V ≈ 2035.8 inches^3

So, the volume of the Meyer family's kitchen trash can is approximately 2035.8 cubic inches.

Answer 2

The volume of the cylindrical trash can is 2034.7 cubic inches.

Step-by-step explanation:

We are given the following in the question:

Height of cylinder = 18 inches

Diameter, d = 12 inches

Radius, r =

`r = (d)/(2) = (12)/(2) = 6\text{ inches}`

Volume of cylinder =

`V = \pi r^2 h\\V = (3.14)(6)^2(18)\\V = 2034.72\text{ cubic inches}\\V \approx 2034.7\text{ cubic inches}`

Thus, the volume of the cylindrical trash can is 2034.7 cubic inches.