Surface area of the half-sphere:
= 4pi r^2 * 1/2
r = 15 cm
pi = 3.142
= 4 x 3.142 x 15^2 x 1/2
= 2 x 3.142 x 225
= 3.142 x 450
= 1,413.9 cm^2
Curved surface area of the cone:
= pi r L
L = Slant height
= Square root (radius of cone + height of cone)
r = 15 cm
h = 50 - 15
= 35 cm
L = Square root (15^2 + 35^2)
= Square root (225 + 1,225)
= Square root (1450)
= 38.079 cm
A = 3.142 x 15 x 38.079
= 1,794.7 cm^2
Total Surface Area:
= Surface area of the half-sphere + Curved surface area of the cone
= 1,413.9 cm^2 + 1,794.7 cm^2
= 3,208.6 cm^2
