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.