A large grain silo is to be constructed in the shape of a circular cylinder with a hemisphere attached to the top (see the figure). The diameter of the silo is to be 36 feet, but the height is yet to be determined. Find the height of the silo that will result in a capacity of .
Well I can't see your figure. You need to have the radius of the hemisphere top that you speak of in order to get a real number answer. The question does not give the final capacity, but I get the idea. Anyway the volume of the cylinder is (pi) r*2 (h of cyl). The volume of the hemisphere is 1/2 a sphere or (2/3)pi(r*3). Add the two volumes together to get a total volume. So the height of the silo = (vol of the cyl)/(pi X r*2). Since you don't have all the numbers I can only solve the equations which will give you the numbers once you find the total capacity and radius of the hemisphere. Good luck