Answer: 75π units³ or 235.5 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 V = πr²h.
Here, notice that our cylinder has a
radius of 5 units and a height of 3 units.
So we have (π)(5 units)²(3 units).
Start by simplifying the exponent.
(5 units)² is (5 units)(5 units) or 25 units².
So we have (π)(25 units²)(3 units).
Now, (25 units²)(3 units) is 75 units³.
So we have 75π units³.
So the volume of the cylinder shown here is 75π 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 (75)(3.14) which is equal to 235.5.
So the value of the volume is approximately 235.5 units³.