Posted by JOY on .
A cone is topped with a hemisphere.
Calculate the total surface area if the radius of the cone and hemisphere is
10 cm and the height of the cone is 24 cm.

geometry 
Reiny,
hemisphere means "half a sphere"
Can you visualize the shape?
I see an "icecream cone with a single scoop on top"
in this case , use only the lateral surface of the cone + 1/2 the surface area of a sphere.
You have done these calculations in previous post.