A cylinder has a base diameter of 6 centimeters and a height of 15 centimeters. What is its volume in cubic centimeters, *to the nearest tenths place*?


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

\[ V = \pi r^2 h \]

where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14159.

Given:
- The diameter of the base is 6 centimeters, so the radius \( r \) is half of the diameter: \( r = \frac{6}{2} = 3 \) centimeters.
- The height \( h \) is 15 centimeters.

Now, substitute these values into the formula:

\[ V = \pi (3)^2 (15) \]
\[ V = \pi (9) (15) \]
\[ V = 135\pi \]

Using \( \pi \approx 3.14159 \):

\[ V \approx 135 \times 3.14159 \]
\[ V \approx 424.11565 \]

To the nearest tenths place, the volume is approximately:

\[ V \approx 424.1 \text{ cubic centimeters} \]

Therefore, the volume of the cylinder is approximately 424.1 cubic centimeters.

Would you like more details or have any questions?

Here are 5 more questions you might find interesting:
1. How do you calculate the surface area of a cylinder?
2. What is the volume of a cone with a given radius and height?
3. How do you find the area of a circle if you know the circumference?
4. What are the properties of different types of quadrilaterals?
5. How do you convert between different units of area, such as square inches to square centimeters?

**Tip:** When dealing with volumes and areas, always make sure your measurements are in the same units before performing calculations.

Learn how to calculate the volume of a cylinder with a diameter of 6 centimeters and a height of 15 centimeters. Use the formula V = πr^2h to find the volume to the nearest tenths place. Suitable for Grades 7-9 students learning geometry and volume calculations.

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