Question

find the volume of this cylinder. round to the nearest tenth.
? \\(\text{in}^3\\)

Explanation:

Identify the given dimensions

The cylinder has a radius \(r = 2\text{ in}\) and a height \(h = 10\text{ in}\).

Recall the volume formula

The volume \(V\) of a cylinder is given by:

$$V = \pi r^2 h$$

Substitute the values

Substitute \(r = 2\) and \(h = 10\) into the formula:

$$V = \pi \cdot 2^2 \cdot 10$$

$$V = \pi \cdot 4 \cdot 10$$

$$V = 40\pi$$

Calculate the numerical value

Using the approximation \(\pi \approx 3.14159265\):

$$V \approx 40 \cdot 3.14159265 \approx 125.6637\text{ in}^3$$

Round to the nearest tenth

Rounding \(125.6637\) to the nearest tenth gives:

$$V \approx 125.7\text{ in}^3$$

Answer:

Find the volume of this cylinder. Round to the nearest tenth.

<blank>125.7</blank> \(\text{in}^3\)