Question

Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)

Answer 1

The volume of a cylinder:

`V=\pi r^2h`
r - the radius, h - the height.

The radius is half the diameter.
The height is three times the radius.


`d=6 \ in \\ r=(6)/(2) \ in=3 \ in \\ h=3r=3 * 3 \ in = 9 \ in \\ \pi \approx 3.14`


`V=3.14 * 3^2 * 9=3.14 * 9 * 9=3.14 * 81=254.34`

The volume is 254.34 in³.