Calculate the cylinders volume and Please use the pi symbol and not 3.14.

Question

The height of the cylinder is 10 and the width is 3

Answer 1

To calculate the volume $V$ of a cylinder, you can use the formula:

$$V=\pi r^{2}h$$

where:

• $r$ is the radius of the cylinder,
• $h$ is the height of the cylinder.

Given:

• The height $h=10$,
• The width (diameter) is 3, so the radius $r=\frac{3}{2}=1.5$.

Now, substituting the values into the formula:

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

Calculating $(1.5{)}^2$:

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

Now substituting back into the volume formula:

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

Thus, the volume of the cylinder is:

$$V=22.5\pi$$