Question

What is the volume of a right circular cylinder with a base diameter of 10 meters and a height of 10 meters?

Answer 1

250π cubic meters

Step-by-step explanation

The volume of a cylinder is,

`V=B\cdot h`

Where B is the area of the base and h is the height. Since the base is circular, the area is,

`B=\pi\cdot r^2`

Where r is the radius.

In this case, we know that the height is h = 10 meters and the diameter is d = 10 meters, so the radius is,

`r=(d)/(2)=(10m)/(2)=5m`

And the volume is,

`V=\pi\cdot5^2m^2\cdot10m=\pi\cdot25\cdot10\text{ }m^3=250\pi\text{ }m^3`

Hence, the volume of this cylinder is 250π m³.