To find the volume of a cylinder, we need to follow these steps:
1. Find the area of the base: The base of a cylinder is a circle, and the area of a circle is given by the formula [tex]\( A = \pi r^2 \)[/tex], where [tex]\( r \)[/tex] is the radius of the circle. So, we calculate the area of the base by using the radius of the cylinder's base in the formula.
2. Multiply the area of the base by the height of the cylinder: Once we have the area of the base, we multiply it by the height ([tex]\( h \)[/tex]) of the cylinder to get the volume. This is because a cylinder is essentially a stack of circles (the base) that are as high as the height of the cylinder. The formula for volume [tex]\( V \)[/tex] of a cylinder is [tex]\( V = A \times h \)[/tex] or [tex]\( V = \pi r^2 \times h \)[/tex] when you plug in the formula for the area of the base.
So the correct description of the steps to find the volume of a cylinder from the given options is:
"Find the area of the base and multiply it by the height of the cylinder."
This is how you would calculate the volume for any cylinder given its base radius and height.
