An observatory has the shape of a right circular cylinder surmounted by a hemisphere. 40 ft 12 t- Consider the surface area of the observatory, if the radius of the cylinder is 12 ft and its altitude...

Extracted text: An observatory has the shape of a right circular cylinder surmounted by a hemisphere. 40 ft 12 t- Consider the surface area of the observatory, if the radius of the cylinder is 12 ft and its altitude measures 40 ft. Find the exact lateral area (in square feet) of the cylinder. ft2 Find the exact surface area (in square feet) of the curved part of the hemisphere. ft2 What is the surface area (in square feet) of the observatory? Use the calculator value of r. (Round your answer to two decimal places.) ft2 If 1 gallon of paint covers 400 ft2 and you can only purchase full gallons of paint, how many gallons must be purchased to paint the surface if it requires two coats? (Round your answer up to the nearest whole number.) gal