Question

Find the volume of the cylinder shown below.

12 cm the radius
13 cm the height

Use 3.14 or the calculator value for pi and provide an answer accurate
to the nearest tenth.

Answer 1

Therefore, the volume of the cylinder, accurate to the nearest tenth, is approximately 5,879.7 cm^3.

Explanation:

To find the volume of a cylinder, we can use the formula V = πr^2h, where V represents the volume, π is approximately 3.14, r is the radius, and h is the height of the cylinder.

Given that the radius is 12 cm and the height is 13 cm, we can substitute these values into the formula:

V = 3.14 × (12 cm)^2 × 13 cm

First, let's calculate the square of the radius:

(12 cm)^2 = 12 cm × 12 cm = 144 cm^2

Now, we can substitute the values into the formula:

V = 3.14 × 144 cm^2 × 13 cm

Next, let's calculate the product of 144 cm^2 and 13 cm:

144 cm^2 × 13 cm = 1,872 cm^3

Finally, we can multiply this result by 3.14 to find the volume:

V ≈ 1,872 cm^3 × 3.14 ≈ 5,879.68 cm^3

Answer 2

The volume of a cylinder is calculated using the following formula:

```

Volume = π * radius^2 * height

```

π (pi) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is approximately equal to 3.14.

In this case, the radius of the cylinder is 12 cm and the height of the cylinder is 13 cm. Substituting these values into the formula, we get:

```

Volume = 3.14 * 12^2 * 13

```

```

Volume = 5881.1 cubic centimeters

```

**Answer:**

The volume of the cylinder is **5881.1 cubic centimeters**.