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.
where:
From the question we know that
Now we can solve for
Now that we know the radius, we can use the formula for the area of a cylinder
where:
We know now that
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.