Find the area of a cylinder has a volume of 175 cubic units and a height of 7 units. the diameter of the cylinder is

To find the area of the cylinder we need to find its volume first. Remember that the formula for the volume of a cylinder is 
where:
is the volume 
is the radius 
is the height 
From the question we know that  and . Lets replace those values in our volume formula:

Now we can solve for  to find our radius:





Now that we know the radius, we can use the formula for the area of a cylinder 
where:
is the area
is the radius 
is the height
We know now that  and , so lets replace those values in our area formula:




We can conclude that the area of a cylinder that has a volume of 175 cubic units and a height of 7 units is 174.07 square units.