Question

Find the volume of the cylinder if the height is 3 mm and the diameter is 40 mm. Leave the answer in terms of it.

V = 60Tt cubic millimeters
X
B
)
V = 120 cubic millimeters
C)
V = 1200Tt cubic millimeters
V = 480011 cubic millimeters

Answer 1

For this case we have that by definition, the volume of a cylinder is given by:
`V = \pi * r ^ 2 * h`

Where:

r: It is the radius of the cylinder

h: It is the height of the cylinder

According to the statement we have to:

`r = \frac {40} {2} = 20 \ mm\\h = 3 \ mm`

Substituting we have:

`V = \pi * 20 ^ 2 * 3\\V = \pi * 400 * 3\\V = 1200 \pi`

Thus, the volume of the cylinder is:
`V = 1200 \pi \ mm ^ 3`

Answer:

`V = 1200 \pi \ mm ^ 3`