Question

What is the volume of the cylinder

Answer 1

The volume of a cylinder is given by

`V = A_b\cdot h`

where
`A_b` is the base area, and
`h` is the height.

We are already given the height, which is 10.

We can deduce the base area since we are given a diameter: the radius is half the diameter, so it's 8, and the area of a circle is given by

`A_b = \pi r^2 = \pi 8^2 = 64\pi`

So, the volume is

`V = A_b\cdot h = 64\pi \cdot 10 = 640\pi \approx 2010.6193\ldots`