TSA of a hemisphere surmounted by a cylinder=
CSA of hemisphere + CSA of hollow cylinder=
2Πr^2+2ΠRh+2Πrh

Calculating the Total Surface Area of a Hemisphere Surmounted by a Cylinder
To find the total surface area of a hemisphere surmounted by a cylinder, we need to consider the surface area of both the hemisphere and the cylinder.

Surface Area of the Hemisphere:
1. The surface area of a hemisphere is given by the formula: 2πr², where r is the radius of the hemisphere.
2. Since a hemisphere is half of a sphere, we multiply this by 0.5 to get the surface area of the hemisphere.

Surface Area of the Cylinder:
1. The surface area of a cylinder is given by the formula: 2πrh + 2πr², where r is the radius of the cylinder and h is the height.
2. Since the cylinder is hollow, we need to subtract the area of the base (πr²) from the total surface area to get the surface area of the hollow cylinder.

Total Surface Area:
1. To find the total surface area, we add the surface area of the hemisphere to the surface area of the hollow cylinder.
In summary, the total surface area of a hemisphere surmounted by a hollow cylinder is the sum of the surface area of the hemisphere and the surface area of the hollow cylinder. By calculating these two areas separately and then adding them together, we can determine the total surface area of the entire shape.