what is the volume of a cylinder with a height of $4.5\\text{ cm}$ and a base with a radius of $5.2\\text{…

Explanation:

Step1: Identify the cylinder volume formula

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

Step2: Substitute the given radius and height

$$V = \pi \cdot (5.2)^2 \cdot 4.5$$

Step3: Calculate the square of the radius

$$V = \pi \cdot 27.04 \cdot 4.5$$

Step4: Multiply the numerical values

$$V = \pi \cdot 121.68$$

Step5: Calculate the final product using pi

$$V \approx 382.26899...$$

Step6: Round to the nearest tenth

$$V \approx 382.3$$

Answer:

382.3 cubic centimeters