Answer:
Surface area: 4323pi
Fill the box with the value "4323", as there is a "pi" after the box.
Step-by-step explanation:
We need to find the surface area of the cone (without the base) and the surface area of the semi sphere (without the base).
The surface area of the cone, without the base, is:
S1 = pi * r * s
Where s is the slant height.
To find s, we can use the Pythagoras' theorem with the radius and the height:
s^2 = h^2 + r^2
s^2 = 56^2 + 33^2 = 4225
s = 65
So the surface area is:
S1 = pi * 33 * 65 = 2145pi
Now, to find the surface area of the semi sphere, we just need to find half of the surface area of a sphere:
S2 = (1/2) * 4 * pi * r^2
S2 = 2 * pi * 33^2 = 2178pi
Finally to find the total surface area we just need to sum both surface areas:
S = S1 + S2 = 2145pi + 2178pi = 4323pi.
As after the box to answer there is a pi, we just need to fill the box with the value "4323"
