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

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

Where:

• $r$ is the radius of the cylinder
• $h$ is the height of the cylinder
• $\pi$ is approximately 3.14

Given:

• $r = 8$ inches
• $h = 4$ inches

Now, substitute these values into the formula:

$\text{Volume} = 3.14 \times (8)^2 \times 4$

First, calculate $r^2$:

$(8)^2 = 64$

Next, multiply by the height $h$ and $\pi$:

$\text{Volume} = 3.14 \times 64 \times 4$

$\text{Volume} = 3.14 \times 256$

Finally, multiply to find the volume:

$\text{Volume} = 803.84 \text{ cubic inches}$

Rounding to the nearest tenth:

$\text{Volume} \approx 803.8 \text{ cubic inches}$

The volume of the cylinder is approximately 803.8 cubic inches.

Would you like further details or have any questions?

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1. What is the formula for the surface area of a cylinder?
2. How would the volume change if the radius were doubled?
3. What would be the effect on the volume if the height were doubled instead?
4. How do you calculate the lateral surface area of a cylinder?
5. How does the value of $\pi$ affect the volume of the cylinder?

Tip: Always ensure that the units of measurement are consistent when calculating volume to avoid errors.