Surface area and volume — practice question

The diagram depicts a solid metal object formed from a cone and a hemisphere, each with radius $6.2\text{ cm}$. The solid’s total surface area is $600\text{ cm}^2$. For a sphere of radius $r$, the curved surface area, $A$, is $A = 4\pi r^2$. For a cone of radius $r$ and slant height $l$, the curved surface area, $A$, is $A = \pi r l$.