Answer:
Option C 
Step-by-step explanation:
we know that
The area of a circle is equal to

we have

substitute

Remember that
degrees subtends the complete area of the circle
so
by proportion
Find the area of the blue sector for an angle of
degrees


Area of the base = 1/2 * 10 * 5sqrt3 = 25 sqrt3
Total surface area = 25 sqrt3 + 3 * 1/2 * 10 * slant height = 214.5
25 sqrt3 + 15h = 214.5
15h = 214.5 - 25 sqrt3
h = (214.5 - 25sqrt3() / 15
= 11.41 cm to nearest hundredth
Thousandths place hope e I helped