Question A cylinder has a base diameter of 4 feet and a height of 13 feet. What is its volume in cubic feet, to the nearest tenths place?

Question

UpStudy AI · Accepted Answer

To find the volume of a cylinder, use the formula:

$$
\text{Volume} = \pi r^2 h
$$

Where:
- $$ r $$ is the radius of the base
- $$ h $$ is the height of the cylinder

**Given:**
- Diameter of the base = 4 feet, so the radius $$ r = \frac{4}{2} = 2 $$ feet
- Height $$ h = 13 $$ feet

**Calculate the Volume:**

$$
\text{Volume} = \pi \times (2)^2 \times 13 = \pi \times 4 \times 13 = 52\pi
$$

Using $$ \pi \approx 3.1416 $$:

$$
\text{Volume} \approx 52 \times 3.1416 \approx 163.3628 \, \text{cubic feet}
$$

**Rounded to the nearest tenths place:**

$$
\text{Volume} \approx 163.4 \, \text{cubic feet}
$$

**Answer:**  
The cylinder’s volume is approximately 163.4 cubic feet.
The cylinder's volume is approximately 163.4 cubic feet.

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