what is the volume of a cylinder that has the height of 10, and the base 3.

Answer 1

To calculate 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.

From your information, the height $h$ is 10, and it seems you mentioned the base as 3, which I will assume to be the diameter. To find the radius $r$, you need to divide the diameter by 2:

$$r=\frac{d}{2}=\frac{3}{2}=1.5$$

Now, plug the values into the volume formula:

$$V=\pi (1.5{)}^2(10)$$

Calculating $(1.5{)}^2$:

$$(1.5{)}^2=2.25$$

Now plug this back into the volume formula:

$$V=\pi (2.25)(10)=22.5\pi$$

Using $\pi \approx 3.14$ for the calculation:

$$V\approx 22.5\times 3.14\approx 70.65$$

So, the volume of the cylinder is approximately:

$$22.5\pi \text{ cubic units, or }70.65\text{ cubic units (using }\pi \approx 3.14\text{)}.$$