Answer:
4410.8
Explanation:
We don't know the height of the cylinder, but we know the sum. A sphere has an equal radius along all sides towards the center. The radius is half of the diameter, and in this case, the diameter is 12 so the radius is 6. We know that the height must be 6 since it is a semisphere and therefore we will subtract 6 from 41 giving us 35; the height of the cylinder. Now apply the formula πr^2h and we would get 3958.406744. Now we can apply the formula 4/3πr^3 which would give us 904.778642 (remember the RADIUS is 6 which is r and the DIAMETER is 12 which is d.) This value however is for a sphere, not a semisphere, so divide the answer by 2, giving us 452.3893421 and by adding 3958.406744 and rounding to the nearest tenth, we get 4410.8. Hope this helps!