1 A candy company needs a custom box for their truffles The box they ve chosen is in the shape of a cylinder with a hemisphere of the same radius on top The total volume of the box is v 1 2 4 y 7 where y is the height of the box and is the radius of the box Originally the candy box was designed to have a height of 6 inches and a radius of 2 inches but the shipper suggests that the boxes be made slightly shorter You now need to adjust the radius so that the height is reduced to 5 75 inches but the volume remains constant A Find the value of at the point r 2 y 6 I