A cylinder has a base diameter of 12in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?

To find the volume of a cylinder, we 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.

Given:
- The diameter of the base is 12 inches, so the radius \( r = \frac{12}{2} = 6 \) inches,
- The height \( h = 17 \) inches.

Substituting these values into the formula:

\[
V = \pi (6)^2 (17) = \pi \times 36 \times 17
\]

Now, let's calculate this:

\[
V \approx 3.1416 \times 36 \times 17
\]

\[
V \approx 1921.2 \text{ cubic inches}
\]

So, the volume of the cylinder is approximately **1921.2 cubic inches** to the nearest tenths place.

Would you like details or have any questions?

Here are 5 related questions:
1. How would the volume change if the cylinder's height was doubled?
2. What is the surface area of this cylinder?
3. How do you calculate the volume if the cylinder's diameter is given in a different unit?
4. How would you find the volume of a cylinder if the radius and height are variables?
5. How does changing the radius affect the volume of a cylinder?

**Tip:** Remember that the volume of a cylinder is directly proportional to both the square of its radius and its height.

Find the volume of a cylinder with a base diameter of 12 inches and a height of 17 inches. This problem involves using the formula V = πr²h and is suitable for students in Grades 6-8. The solution rounds the final volume to the nearest tenth of a cubic inch.

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