Answer: 18π units³ or 56.52 units³
Step-by-step explanation: Notice that the figure shown here is a cylinder. To find the volume of a cylinder, start with the formula for the volume of a cylinder which is shown below.
Volume = πr²h
Here, notice that our cylinder has a radius
of 3 units and a height of 2 units.
So we have (π)(3 units)²(2 units).
Start by simplifying the exponent.
(3 units)² is (3 units)(3 units) or 9 units².
So we have (π)(9 units²)(2 units).
Now, (9 units)²(2 units) is 18 units³.
So we have 18π units³.
So the volume of the cylinder shows here is 18π units³.
Remember that π is approximately equal to 22/7 or 3.14. So we can estimate the value of the volume by plugging in 3.14 for π.
So we have (18)(3.14) which is equal to 56.52.
So the value of the volume is approximately 56.52 units³.