FIrst we need to know what the object is? Perhaps you mean a cone or a cylinder?
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Uisng the lateral area and tha radius, you should be able to find the height of the cone. Using the height and radius as the legs of a right triangle, use the Pythagorean Theorem. The hypotenuse is the slant height.
use algebra to find the radius, then plug the height and radius into the surface area equation
h = ( Area/ (2pi*r) ) - r h = height r = radius pi = 3.14
Entire surface area of a cylinder = (2*pi*radius^2)+(circumference*height) If you are given the circumference then radius = circumference/2*pi
Use the formula for the volume. Replace the data you know (radius and volume), and solve for the missing data (the height). Once you have this height, it is easy to use the formula for the surface area.